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lim-0-arc-sin-k-cos-1-k-2-arc-sin-k-1-k-2-




Question Number 97840 by bemath last updated on 10/Jun/20
lim_(γ→0)  (arc sin ((k cos γ)/( (√(1+k^2 )))) − arc sin (k/( (√(1+k^2 ))))) =?
$$\underset{\gamma\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\mathrm{arc}\:\mathrm{sin}\:\frac{\mathrm{k}\:\mathrm{cos}\:\gamma}{\:\sqrt{\mathrm{1}+\mathrm{k}^{\mathrm{2}} }}\:−\:\mathrm{arc}\:\mathrm{sin}\:\frac{\mathrm{k}}{\:\sqrt{\mathrm{1}+\mathrm{k}^{\mathrm{2}} }}\right)\:=? \\ $$
Commented by john santu last updated on 10/Jun/20
= 0
$$=\:\mathrm{0}\: \\ $$

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