`lim_(x -> oo) sin(2x)/x` Find the limit.

Textbook Question

Chapter 3, 3.5 - Problem 37 - Calculus of a Single Variable (10th Edition, Ron Larson).
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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

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The numerator, sin(2x), is bounded (by 1), while the denominator, x, tends to infinity, and 1/x tends to zero. Therefore the limit in question is 0.

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