Calculus Examples

$lim_{x \to \infty} \frac{10 \sin (x) + 15 \cos (x) + 20}{x}$

Step 1

Since $\frac{- 5}{x} \leq \frac{10 \sin (x) + 15 \cos (x) + 20}{x} \leq \frac{45}{x}$ and $lim_{x \to \infty} \frac{- 5}{x} = lim_{x \to \infty} \frac{45}{x} = 0$ , apply the squeeze theorem.

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