Question

What is the limit of `tan(1/x)` as x approaches infinity?

Answer 1

0

Explanation:

First, notice that as x approaches infinity, the inside term `1/x` goes to zero.

Now, just evaluate tangent as `1/x` goes to zero, `tan(0)=0`.

`lim_(x->0)(tan(1/x))=tan(lim_(x->0)(1/x))=tan(0)=0`.