First slide

Introduction to limits

Question

The value of $lim_{x \to \infty} \frac{\sin x}{x}$ is

Moderate

A

1
B

0
C

-1
D

none of these

Solution

We have,
$lim_{x \to \infty} \frac{\sin x}{x} = lim_{y \to 0} y \sin (\frac{1}{y}) = 0$

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