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Solved: Limits Evaluate the following limits. Use

Chapter 4, Problem 31RE

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QUESTION:

Limits Evaluate the following limits. Use l'Hôpital's Rule when needed.

\(\lim \limits_{\theta \rightarrow 0} 2 \theta \cot 3 \theta\)

Questions & Answers

QUESTION:

Limits Evaluate the following limits. Use l'Hôpital's Rule when needed.

\(\lim \limits_{\theta \rightarrow 0} 2 \theta \cot 3 \theta\)

ANSWER:

Solution Step 1 In this problem we have to evaluate the limit lim2 cot 3by using l'Hôpital's Rule 0 when needed. l'Hôpital's Rule: f(x) 0 f(x) ± Suppose that we have one of the following cases, lim xa g(x)= 0r lixa g(x)= ± Where a can be any real number, infinity or negative infinity. In these cases we have lim f(x)= lim f(x) xa g(x) xa gx)

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