Answer: In Exercises 6576, determine the limit of the trigonometric function (if it

Chapter 1, Problem 76

(choose chapter or problem)

In Exercises 65-76, determine the limit of the trigonometric function (if it exists).

\(\lim \limits_{x \rightarrow 0} \frac{\sin 2 x}{\sin 3 x}\)     [Hint: Find \(\lim \limits_{x \rightarrow 0}\left(\frac{2 \sin 2 x}{2 x}\right)\left(\frac{3 x}{3 \sin 3 x}\right)\).]

Text Transcription:

lim_x right arrow 0 sin 2x / sin 3x

lim_x right arrow 0 (2 sin 2x / 2x)(3x / 3 sin 3x)

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