Science:Infinite Series Module/Units/Unit 1/1.1 Infinite Sequences/1.1.09 Squeeze Theorem For Sequences

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The Squeeze Theorem for functions can also be adapted for infinite sequences.

Theorem: Squeeze Theorem for Infinite Sequences
Suppose

for

and

then

This theorem allows us to evaluate limits that are hard to evaluate, by establishing a relationship to other limits that we can easily evaluate. Let's see this in an example.