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

## Answer this Question

## Related Questions

- calculus help - consider lim -->0^+ 1)sin(4x)/sin(3x) find the limit using a ...
- calculus - Recall that a function G(x) has the limit L as x tends to infinity, ...
- calculus - Recall that a function G(x) has the limit L as x tends to infinity, ...
- Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
- Calculus - Consider the function f(x)=sin(1/x) Find a sequence of x-values that ...
- Calculus - Find the constant c so that lim [x^2 + x + c]/[x^2 - 5x + 6] exists. ...
- calculus-limits?? - i keep on doing something wrong on this problem,i guess im ...
- Calculus - yes! tnk u ok? It's actually (x->0.) Find the limit of cot(x)-csc(...
- Calculus - 1.) Find the equation of the line that is tangent to the graph of y-y...
- Math-Limits - sqrt(1+tan x)-sqrt(1+sin x) lim all divided by x^3 x-->0 Use ...

More Related Questions