Prove the formula for the limit:

Using,

* Proof. * First, we recall the trig identity:

So,

Each limit in the product exists as , so the limit of the product is the product of the limits (by Theorem 3.1 (iii)):

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Stumbling Robot

A Fraction of a Dot
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Establish the given limit formula

Prove the formula for the limit:

Using,

* Proof. * First, we recall the trig identity:

So,

Each limit in the product exists as , so the limit of the product is the product of the limits (by Theorem 3.1 (iii)):