calculate limit

Question

$\lim_{x\rightarrow \infty }\frac{\sin x}{x}$

Answer 1

$\sin x$ value is bounded from -1 to 1. So as x tends to $\infty$, $\frac{\sin x}{x}$ must be 0.

Comments

yes for all real value of x range of sinx will be [-1 to 1]  and this value is divided by infinity its value will be 0

Answer 2

remember this as a standard formula .as it always give answer as 0

Comments

HOW?

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$\sin x$ value is bounded and periodic so as x tends to $\infty$ $\frac{\sin x}{x}$ must be 0.