Find the limit \lim_ {\theta \rightarrow 0} \cos(3\theta) \tan(3\theta)


Find the limit {eq}\displaystyle \lim_ {\theta \rightarrow 0} \cos(3\theta) \tan(3\theta) {/eq}

Limits by Direct Substitution:

Limits by direct substitution is one of the methods of evaluating limits.

It is applicable if the function is continuous at the point of evaluation.

If {eq}f(x) {/eq} is continuous at {eq}x = a {/eq}, then {eq}\displaystyle\lim_{x \rightarrow a} f(x) = f(a) {/eq}

Answer and Explanation:

We will use direct substitution since the given function is continuous at the point of evaluation:

{eq}\begin{align*} \displaystyle \lim_ {\theta...

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Learn more about this topic:

How to Determine the Limits of Functions

from Math 104: Calculus

Chapter 5 / Lesson 4

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