Lets test it giving you two pdfs from IITs 2024 college entrance paper
solve it
>if you can
https://jeeadv.ac.in/past_qps/2024_1_English.pdf
https://jeeadv.ac.in/past_qps/2024_1_English.pdf


lets see if there are any smart people here instead of retarded low iq bots

>>509398971 (OP)
ew get away dirty jeet

no I actually can't because the products are ill defined
>...
>does that mean n/1, n/2, n/3 etc?
>does that mean n, n/2, n/4 etc?

Here, use the proper product notation, rewrite the formula in latex and post again:
https://simple.wikipedia.org/wiki/Product_(mathematics)

>>509399132
ew get away dirty nigger

C

>be indian
thats all i needed to type to laugh at my own brilliance

Nigger it's been 20 years since I got my bachelors you think I remember how to do half of that shit?
Now that you remind me, I vividly recall the professor yelling at everyone because he caught all the jeets and seamonkeys in my algorithms course copying answers from each other on the mid-term exam
He'd probably be cancelled as racist nowadays

>>509398971 (OP)
No I'm not. Thanks for producing people like Ramanujan.

>>509398971 (OP)
just wolframalpha that. who cares

>>509398971 (OP)
i am not good at math, so no, but one thing that studying stock charts has taught me, is that this kind of math often looks complicated, but actually, its usually iteration of simple things.

>>509401455
he's also publicly humiliated and possibly imprisoned

>>509398971 (OP)
>guy who does a lot of math thinks he's smart for doing a lot of math
explain this chart to me professor

>>509398971 (OP)
It’s doable I’m just lazy.

How to rewrite the top and bottom products based on the pattern? Idk

not a single jeet has invented/discovered anything useful in the past 50 years

prove me wrong faggot op

>>509398971 (OP)
If i study for it a week yes.

>>509402315
phrase diagram of what happens to iron as you heat it and probably add other compounds to it

>>509398971 (OP)
I know where to got to the bathroom, and basic hygiene etiquette.

Do jeets do?

>>509402490
>the answer to this math formula is numbers
yes thanks tips

>>509398971 (OP)
Post a picture of your toilet.

>>509398971 (OP)
LMAO look at all these math illiterate retards responding to you. inb4 calling me Indian even though I'm not.
>I-I could totally do it b-but I just don't want to
>I don't know anything at all but I'm sure this is easy, sheeeit
>P-Pajeet

>>509398971 (OP)
It's been a long time since I've done calculus. My pattern recognition sees that it's one of those formulas that leads to e, and I see that n^n is more than n!, but I'm not sure if the numerator is greater than the denominator, that probably depends on x and those big products. It will probably produce some familiar looking formulas when you plug in the specific values that the potential answers show you.

>>509402914
>if you don't specialize in the same field I do, share my interests or have the same baseline knowledge about all subjects I do you're not as smart as me
Literally the most midwit opinion imaginable. Shit nigger describe to me without searching it up what parallax is.

>>509402914
Well, since you're baiting...
>IIT

>>509402315
>you suck at math unless you've studied the basics of materials sciences, let me mog you with this clearly readable chart
I don't like India very much but you're coping

>>509403238
ye the leftmost n part to the power of x/n converges to e^x, without the product part.
That product part can be written as a single infinite product but afterwards I'm at my wits end

>>509403402
>not knowing how to do this formula that probably isn't relevant to you proves your dumb
>clearly readable chart
What is cementite

>>509402685
? what did he mean by this?

>>509403402
I'm much better at reading that chart than I am at calculus, lol.

>>509403535
I don't give a fuck about cementite, this isn't a thread about cementite, this is a thread about calculus, go make a thread about how indians don't know anything about cementite

>>509403422
>>509403238
oh it's probably some gamma function that it converges to. like Г(х)* e^x*something else

>>509403566
That telling me what it is isn't the same as explaining it.

>>509398971 (OP)

FECALOIDS WILL NEVER BE HUMAN

>>509403680
Indian mechanical engineering is notoriously terrible.

>>509398971 (OP)
Let fag(x)=lim/infinity nigger(nigger to the niggeth power(x+nigger)(x+nigger/2)(x+nigger over nigger)

>>509403680
This was actually a thread where someone insinuated you're only intelligent if you can answer a question that has to answer for a course he is taking. So I countered by saying you're not smart if you can't answer a question for a course I've taken. Clearly reading isn't your strong suit, might want to work on that.

>>509398971 (OP)
only d makes sense
n^n grows faster than n!, and is countered by the x/n exponent, meaning increasing x increases the value.
since it's always increasing, f'(x) also always increases so f'(x+a)/f(x+a) > f'(x)/f(x) for all positive a

>>509403988
this is basic high school math

>>509404041
Highschool was decades ago for many of us and the stuff we do use on a day to day basis is probably not stuff you know, either.
This website has specialists in all sorts of shit.

>>509398971 (OP)
If indians are so smart I guess theyre choosing to shit in the street and live like cockroach people. You have to be extremely high IQ to understanding bathing in a river of corpses and eating your dead relatives.

>>509398971 (OP)
We're allowed to have two answers, right? B and C.

>>509403728
RIP I can't do that
>>509403788
doesn't compile in my latex extension
>>509403843
I get what you mean, but I hate to tell you, the average (real) mathematician (not me) views the average mechanical engineer as something like a carpenter or plumber, you posted something very specific, OP posted something very general that most people who went through university probably encountered before. Of course, many people feel like an expert right after passing their finals and need to brag on /pol/ with a thread like this.
>>509403988
what do you do about the two infinite products?

>>509404278
>Eating beef
NO!
>Eating humans
*Does a dance*

>>509403734
fuck off nigger

>>509404341
You view carpentry and plumbing with disdain because you don't know anything about them and think it's just slapping wood/pipes together.

What do you know about water hammer?
Can you rip a board cleanly? Have you ever made a plane flat and smooth to the touch?

You're the kind of person for which lathes are named "idiot removers". You think you're too smart to bother learning things and look down on people for going that route instead of your own.

If someone can create a stone arch, I respect them a lot more than I do you.

>>509398971 (OP)
when i was in comp sci, indians kept bugging be to help them with their homework.

>>509398971 (OP)
knowing math doesn't make you smart, you can do multiplication in your head? good, because that's the baseline for math smarts, everything else after is just extra dressing and faggot bullshit, memorizing functions doesn't make you smart, as in genius tier, like plenty math faggots think they are.

So, what's the answer?

>>509403367
>>if you don't specialize in the same field I do, share my interests or have the same baseline knowledge about all subjects I do you're not as smart as me
I never said or implied that. You are retarded.
>>509403396
I'm not reading that wall of text, go back to Plebbit.

>>509398971 (OP)
Indians just cheat so it doesn't matter what the fucking question is. White peoples mistake is assuming they play by the same rules.

>>509404573
Last time I touched this stuff was AP Calc. I'm a bit rusty but it's very straightforward.

>>509404536
based tradechad

>>509404341
>RIP I can't do that
neither can I and I think you need to study the Gamma function to understand the methodology. Looks just like out of what OP is asking for:
https://en.wikipedia.org/wiki/Gamma_function

>>509398971 (OP)
Sorry, just don't care what a streetshitter thinks lmao

>>509398971 (OP)
Its B. Now get the fuck out of my board, sub human.

>>509404341
>they view people as being less intelligent for no good reason
I know, that's my entire point. I learned how to do that math years ago and dumped it because I don't need it.

>>509403535
>>509402315
This is 2nd year mechanical engineering material science... Do you honestly think this is a board full of retards?

>>509398971 (OP)
>high iq
>covers himself in cow shit

pick one

>>509404670
>I never implied thing I absolutely implied
Fucking lotta geniuses in this thread boys

>>509405694
Really I learned it in my first 4 weeks of my metallurgy course. Guess you're not as smart as me

>>509402315
Ok. It's a chart for metallurgical hardening/ crystalization of steel and cast iron based on alloy content and temperature.

I base this assumption on words on the graph.

>>509398971 (OP)
>The infinitieth root of arbitrary expression of infinities

Glancing at this for all of 15 aeconds Im gunna say B, because a smaller fractional exponent is gunna be less than a larger fractional exponent of a grade school intellect of "infinity times infinity plus 1"

"..." Isnt a valid mathematical syntax, so any answer is arguably right anyways.

>>509400470
the denominator would go n^2 / 1^2, n^2 / 2^2, n^2 / 3^2... n^2 / n^2

>>509398971 (OP)
Oof. Brain hurty.
Why can't the terms in the denominator factor nicely.

>>509406151
Brainlet-tier interpretation.
It probably simplifies significantly using some limit rules.

>>509398971 (OP)
If n tends to infinity the exponent tends towards zero, so the whole expression is equal to one and the expression in the parenthesis (some trigonometric or hypergeometric sum) is quintessentially irrelavant.

the answer is C
calc 3 fag

>>509406260
Yes it does. If you wernt a faggot youd understand thats what I said.

>>509398971 (OP)
>pre calc
this was literally taught in highschool

>>509406303
yeah if i had to guess itd be A or C

>>509406303
^^^^this

>>509398971 (OP)
ill solve it the jeet way
let me just fire up jeetanswer.com

>>509406470
>>509406303
fuck, didn't even notice the exponent.
yeah, f(x) = 1

>>509398971 (OP)
B and c are both true

>>509406630
see the limit definition of e

>>509401666
didn't they murder him by shitting in his water?

>>509398971 (OP)
Why do you need to know this?
What purpose does it serve?
Yeah have fun wasting time and brain capacity for this meaningless task.

>>509406303
true

>>509406681
Actually, if f(x) = 1, then f'(x) = 0
Then all four are true...

>>509402914
This level of math is way more than I use in my profession
>GS IB VP TMT

>>509404341
im retarded and just assumed the n term canceled to 1 because patterns
changing my answer to C after working out n=3 and walking away from cheap jeet tricks

>>509403396
Western universities are barely better. Women will cram so they know everything by heart, but understand none of it.

>>509407934
see the exponent.
it tends towards zero, like Germanon said:
>>509406303

>>509406303
You need to prove the central expression doesn't decay faster, because it can tend to either 1 (x^0=1 for x>0) or 0 (0^x=0 for x>0) depending on which converges faster. Here the exponent is a 1/n decay while the central expression is in (n^2n*n! ^2)*/(n! ^2* n^2n) and is just O(1) so it's indeed 1.

>>509408305
>You need to prove the central expression doesn't decay faster
No, you really don't.
Anything to the 0 power is 1, so it's irrelevant what the central expression is.

>>509408435
>American education
Don't reply to my posts ever again.

>>509407957
Nowadays probably. In my day cheating was actually frowned upon somewhat and could get you expelled, refer to my previous post in the thread

>>509408499
0^1 = 1, retard.

>>509408637
>>509408499
sorry, 0^0 = 1, retard.

>>509408122
so does the main term without the exponent?
n^(2n)/(n^(2n+n))

>>509408727
see
>>509408662

>>509407114
No. f\left(\frac{1}{2}\right) \ge f(1)
Since f(x) has a maximum at x=1, for any x \in (0,1), f(x) < f(1). Thus, f(1/2) < f(1). This statement is False.

>>509398971 (OP)
Daily reminder there are countless people with stem degrees that went all through calculus/physics/chem and still think covid was totally organic and not a planned psyop

>>509408742
>0^0 having any definition
revisit limits retard

>>509398971 (OP)
Advanced math (anything over 5th grade level) is for dorks

>>509408955
Tell that to the people who make calculators.

>>509398971 (OP)
Learned specialized knowledge is not proof of and has no bearing on natural in-born capabilities, nor does some paper of things built on hundreds of years of others' work signify any actual intelligence of the writers.
Further, all math can be defined down to nothing but extrapolated algebraic processes, itself just a method for defining terms for some given object inside of what is ultimately a sequence of relatively simple math.

I've seen a thousand bachelor level papers on repetitions of nothing in particular which discovered nothing and answered no questions.

>>509398971 (OP)
ayo ts some nerd shit paheett. nobody except dem incel ytbois now ts dork scrabble LMAO meanwhile im out hea fucking dem wite wimmenz and ur in india seething HAHA

>>509408305
You may aswell argue that I should consider complex solutions. Theoretically, yes, practically, no - it's a waste of time (unless relevant context is provided).

>>509401666
Ramanujan sucked.
>spouts equation
>ok, but can you prove it?
>Trust me, bro
>Look, I didn't bring you here from that sweltering shithole just so you could give opinions, you need to prove things
>*catches cold and dies*

>>509398971 (OP)
Who cares? I dont like math. Do you like organic chemistry? What about biology? Thats what I thought.

>>509409065
>python implementation
>assuming that's how math works
stop vibe coding and pick up a pre calc book

>>509409379
>stop vibe coding
no

>>509409250
he died from the complications of indians defecating in his water anon

>>509409065
It is purely conventional to avoid raising a mess of exceptions in combinatorial expressions. The limit is indeterminate and can take any value. It does converge to 1 when both functions are holomorphic.
https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero

>>509409223
It is certainly not a waste of time. You claim anything to the power 1/n will converge to 1 when increasing n which is false.

>>509409510
>when both functions are holomorphic
neat. I don't see a letter i anywhere in the OP and I never took complex analysis anyway.

>>509409510
I am not going to jump through hoops unless relevant context is provided that justifies rigorous investigation. If it's slidethread on /pol/, it is by implicatiom bait that's meant to filter and cause controversy by means of messy notation, omission and petty use of obscure convention, so I'll glance at it, post an answer, skim through thread and eventually close the tab, having lost slivers of faith in humanity that I didn't even know I had managed to retain.

>>509409510
0^0 = Z
just ignore the definition of functions and assume a one to many relationship is possible

It's pretty telling that none of the jews and niggers that post on r/pol can solve the problems in the entrance exam, and have no choice but to chimp out about it