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lim-x-0-sin-x-tan-x-1-x-2-1-3-1-1-sin-x-1-




Question Number 138708 by liberty last updated on 16/Apr/21
lim_(x→0)  ((sin x−tan x)/((((1+x^2 ))^(1/3) −1)((√(1+sin x))−1)))=?
$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:{x}−\mathrm{tan}\:{x}}{\left(\sqrt[{\mathrm{3}}]{\mathrm{1}+{x}^{\mathrm{2}} }−\mathrm{1}\right)\left(\sqrt{\mathrm{1}+\mathrm{sin}\:{x}}−\mathrm{1}\right)}=? \\ $$
Answered by bramlexs22 last updated on 17/Apr/21

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