Posted by **Sybil Jones** on Saturday, September 24, 2011 at 2:45pm.

Find the positive integers k for which

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

exists, and then find the value the limit.

(hint:consider first k=0, then k=1. Find the limit in these simple cases. Next take k=2 and finally consder k>2 and find the limit in these cases as well)

I did this for the first one

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

then idk how to do the other ones

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