The value of limx→∞ sin⁡xx is

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

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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