- #1
chapsticks
- 38
- 0
Homework Statement
find the positive integers k for which
lim x->0 sin(sin(x))/x^k
Homework Equations
exists, and then find the value of the limit
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=?