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by **nona.m.nona** on Sun Apr 05, 2009 6:43 pm

Find the limit(x approaches 0) of (tan²x)/x

I am more interested in the steps themselves, rather than the answer, because the answer is obvious (by just plugging-in values).

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by **Martingale** on Sun Apr 05, 2009 8:43 pm

nona.m.nona wrote:Find the limit(x approaches 0) of (tan²x)/x

I am more interested in the steps themselves, rather than the answer, because the answer is obvious (by just plugging-in values).

$\lim_{x\to 0}\frac{\tan^2(x)}{x}=\lim_{x\to 0}\frac{\tan(x)\tan(x)}{x}=\lim_{x\to 0}\tan(x)\cdot\lim_{x\to 0}\frac{tan(x)}{x}$

$=\lim_{x\to 0}\tan(x)\cdot\lim_{x\to 0}\frac{\sin(x)}{x}\cdot\lim_{x\to 0}\frac{1}{\cos(x)}=\cdots$

by **nona.m.nona** on Sun Apr 05, 2009 8:45 pm

I keep forgetting those cos and sin limits. Thank you! :oops:

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Find the limit (as x approaches 0) of (tan^2(x)) / x

Find the limit (as x approaches 0) of (tan^2(x)) / x

Re: Find the limit (as x approaches 0) of (tan^2(x)) / x

Re: Find the limit (as x approaches 0) of (tan^2(x)) / x