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lim-x-0-sin-sinx-x-




Question Number 159522 by mathlove last updated on 18/Nov/21
lim_(x→0) ((sin(sinx))/x)=?
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{sin}\left({sinx}\right)}{{x}}=? \\ $$
Commented by cortano last updated on 18/Nov/21
 lim_(x→0)  ((sin (sin x))/(sin x)) × ((sin x)/x) = 1
$$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{sin}\:{x}\right)}{\mathrm{sin}\:{x}}\:×\:\frac{\mathrm{sin}\:{x}}{{x}}\:=\:\mathrm{1} \\ $$

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