Wednesday

March 4, 2015

March 4, 2015

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

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

- Calculus -
**bobpursley**, Saturday, September 24, 2011 at 2:46pmk=1 limit sinx/x=1

k=2 limit sinx/x *1/x= undefined

and so on.

- Calculus -
**Sybil**, Saturday, September 24, 2011 at 4:21pmfor k=2 lim x->0 sin(sin(x))/x^2= error

so undefined So do I have to do sided limits? how?

**Answer this Question**

**Related Questions**

calculus help - consider lim -->0^+ 1)sin(4x)/sin(3x) find the limit using a ...

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 - 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 - 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 3 - Find the limit, if it exists, or show that the limit does not ...

Calculus 3 - Find the limit, if it exists, or show that the limit does not exist...

calculus - (a) Find the number c such that the limit below exists. Limit as x ...