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lim-x-0-sin-tan-x-sin-x-x-tan-x-




Question Number 181464 by cortano1 last updated on 25/Nov/22
    lim_(x→0)  ((sin (tan x)−sin (x))/(x−tan (x))) =?
$$\:\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:\left(\mathrm{tan}\:\mathrm{x}\right)−\mathrm{sin}\:\left(\mathrm{x}\right)}{\mathrm{x}−\mathrm{tan}\:\left(\mathrm{x}\right)}\:=? \\ $$

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