Question

Limit as x approaches 0 of the function:
tan^2(x) * cos(sin(1/x))

I would like a hint, not the solution.

Answer 1

you can break it up and take the limit of each part

Answer 2

Ok... so you are saying that I should break it up, but am I able to apply the Squeeze Theorem to the cos(sin(1/x))?

Answer 3

well ,let me ask you some as x approaches 0, what happens to 1/x?