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lim-x-0-1-x-tan-1-x-cosh-x-1-tan-2-x-




Question Number 117171 by bemath last updated on 10/Oct/20
   lim_(x→0)  (((1+x tan^(−1) (x))/(cosh (x))))^(1/(tan^2 (x)))  =?
$$\:\:\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{\mathrm{1}+\mathrm{x}\:\mathrm{tan}^{−\mathrm{1}} \left(\mathrm{x}\right)}{\mathrm{cosh}\:\left(\mathrm{x}\right)}\right)^{\frac{\mathrm{1}}{\mathrm{tan}\:^{\mathrm{2}} \left(\mathrm{x}\right)}} \:=? \\ $$
Answered by bemath last updated on 10/Oct/20

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