(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

find the positive integers k for which

lim x->0 sin(sin(x))/x^k

2. Relevant equations

exists, and then find the value of the limit

3. The attempt at a solution

I did the first three k's

k=0

lim x->0 sin(sin x))/x^0= 0 undefined

k=1

lim x->0 sin(sinx))/x^1= 1

k=2 I might be wrong with this

lim x->0 sin(sinx))/x^2= undefined

k>2 how do I do this one.

lim x-> sin(sinx))/x^k>2=?

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# Positive integers for k: finding limits

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