`y = 3x - sin^2(x)` Find the limit, if possible

Textbook Question

Chapter 3, 3.9 - Problem 19 - Calculus of a Single Variable (10th Edition, Ron Larson).
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gsarora17 | (Level 2) Associate Educator

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plug in the value of x

`= 3*0-sin^2(0)`


`lim_(x->oo) 3x-sin^2x`

`lim_(x->oo) x(3-(sin^2x)/x)`

Apply the squeeze  theorem to evaluate the limit of sin^2x/x






So, by the squeeze theorem,




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