Math Genuises HELP!!

>you shouldn't use l'hopital's rule or these shits

>>8291550
sin(0) = 0
so tan(sin(0)) = 0
also tan(0) = 0

the numerator is 0-0
The denominator can eat a dick, the whole thing is zero

Anon she's probably fucking one of your friends every day while you're doing her sister's tedious homework

What a cuck

>>8291563
>What a cuck

This. Why do autists feel like doing girl's homework will get them laid? This is shit is absolutely autistic level. NO ONE IS GOING TO FUCK YOU FOR DOING A MATH PROBEM.

>inb4 you are just salty cuz you can't do it

Yeah I can't do it and I'm not going to bother to. That problem was obviously made to be tedious because I can tell you that that limit will never come up in an actual problem, pure or applied.

It is a limit for limit's sake and you know what? We made computers for that. Go ask a computer that can try a million methods per second so that it tells you how it is done, stop being an autist. 2016 man.

>>8291555
The denominator is also zero you tit

and OP is pathetic

>>8291555
>The denominator can eat a dick, the whole thing is zero

The denominator is also 0 so it's a problem you idiot

>>8291550
First things I thought of:
-Try to write (tanx) as ( tanx=sinx/cosx)
Or/and try to change the x variable

Quite simple, dude

>>8291554
Unwieldy. It won't work until the 7th iteration. There must be a better way, though I'm not seeing it immediately and am getting nerd sniped while late for work.

>>8291550
Answer is 1/5. Tell her that now and start figuring it out later.

Try substitution

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if you only cared for the answer
what's the use of you getting to talk to her based on math homework if you can't help her with any?
maybe it's time to man up and try something else

>>8291555

so you have to rationalize it so it isn't in indeterminate form

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>>8291550

> he still thinks he will get a qt by doing her homework for her
> meanwhile she is sucking black cock

>>8291683
give him the step-by-step solution you nerd

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>>8291573
>>8291578
>>8291685
alright fags, how about this

0/a = 0 for -inf<a<inf
therefore, 0/0 =0
>b-but it's indeterminate
No. Here, have a heuristic:
if you have zero objects, no matter how many groups you separate your zero objects into, you will always have zero objects. If you separate your zero objects into zero groups, you will still have zero objects in "each" group, because you have no objects, and therefore no groups of no objects
>b-but if we assume 0/0 = 0, substituting b=0 leads to b/b = b which means b could be 1 or 0
i give zero fucks

>>8292256
>0/0 =0

You know what we don't just come up with indeterminate expressions right? The reason they are called that is because we can find examples of things that evaluate 0/0 but approach different values.

If that is the case when how could even say that 0/0 = x when actually there are many different possibilities.

1/inf = 0 is the same type of expression, a formally undefined one but that has meaning because even though infinity is not a number, the equality will always hold no matter want.

>>8292256
anon, are you underage?
it doesn't even seem like you took high school math

>>8292256
>x/x=0 for x=0

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>>8292264
>>8292271
>>8292263
ITT: mad as fuck niggas because my number theory is centuries ahead

>>8291609
How did you find out the 7th iteration works? Did you actually differentiate 7 times?

>>8292256
But you forgot one little detail

Dividing by 0 is infinite

And yes, dividing nothing by 0 is also infinite, that's how the universe started

>>8291550
Rewrite every trig expression as it's taylor expansions up to the second or third order and it should do the trick.
[eqn] \sin{x} = x - \frac{x^3}{6} + o(x^5) [/eqn]
There will be a few pitfalls when composing Taylor expansions, so just keep an eye on your o() and remember that [math] x^p + o(x^n) = o(x^n) [/math] if [math] n < p [/math]

>>8291550
>This is actually a good chance to talk to her and not look like a weirdo.
No it's not.

>>8291550
Haven't done trig in forever, but don't you just go into complex usually to solve those heavy ass formula problems?

>>8292279
I threw the numerator and denominator into mathematica and differentiated each in a table from one to ten times.

Grid[Table[{k,D[num,{x,k}],D[den,{x,k}]}, {k,1,10}]]

Something easy and short like that because mathematica's language rules

>>8291565
>>8291563
I bet it's OPs own homework

>>8291565
You haven't see the anime I have seen!!!!

>>8292309
finding the taylor for sintanx will undoubtedly give me cancer

>>8292256
0*37=0 => 0/0=37

It's pretty simply guys

He's trying to make us do his homework guyz. Don't fall for this bullshit.

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>>8292629
https://en.wikipedia.org/wiki/Fa%C3%A0_di_Bruno%27s_formula

Sin(Tan(x)) is
x+(x^3)/6 - (x^5)/40 - (55 x^7)/1008+O[x]^9

Tan(Sin(x)) is
x+(x^3)/6 - (x^5)/40 - (107 x^7)/5040+O[x]^9

Cos(Tan(x)) is

1- (x^2)/2 - (7 x^4)/24 - (97 x^6)/720 - (2063 x^8)/40320+O[x]^9

Cos(Sin(x)) is

1- (x^2)/2 + (5 x^4)/24 - (37 x^6)/720 - (457 x^8)/40320+O[x]^9

The numerator then put together is
2x + (x^3)/3 - (x^5)/20 - (191 x^7)/2520+O[x]^9

The denominator is, with the 2x's worked in,
4x - (2x)^3 + (5x^5)/6 - (67x^7)/180 - (803x^9)/10080 +O[x]^10

Dividing the two then gives
1/2 + (x^2)/3 +(x^4)/20 - (17 x^6)/1008+O[x]^8


The limit for which is easy