Compute

Since for all we have

for all . Since , we have

by the squeeze theorem (Theorem 3.3 in Apostol).

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#
Stumbling Robot

A Fraction of a Dot
#
Evaluate the given limit

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2 comments

### Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):

Compute

Since for all we have

for all . Since , we have

by the squeeze theorem (Theorem 3.3 in Apostol).

You have a mistake here. When you multiply your first inequality by x you need to consider the sign of x.

Right. That’s why it is better to use the inequalities

.