`lim_(x -> oo) 1/(2x + sin(x))` Find the limit.

Textbook Question

Chapter 3, 3.5 - Problem 35 - 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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Divide numerator and denominator by x and obtain

`(1/x)/(2+sin(x)/x).`

As x tends to infinity, 1/x tends to zero and sin(x) is bounded. The limit is 0/(2+0)=0.

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