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

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Answer 1 · 2018-04-26T03:08:05

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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, $tan(0)=0$ .

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

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