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

Textbook Question

Chapter 3, 3.5 - Problem 38 - 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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`(x-cos(x))/x = 1 - cos(x)/x.`

When, cos(x) is bounded (by 1) and 1/x -> 0. Therefore cos(x)/x -> 0 and the answer is 1.

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