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lim-a-0-1-cos-3a-1-3-cos-2a-cos-a-a-sin-a-cos-2a-




Question Number 155937 by cortano last updated on 06/Oct/21
 lim_(a→0)  ((1−((cos 3a))^(1/3)  (√(cos 2a)) cos a)/(a sin a cos 2a)) =?
$$\:\underset{\mathrm{a}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{1}−\sqrt[{\mathrm{3}}]{\mathrm{cos}\:\mathrm{3a}}\:\sqrt{\mathrm{cos}\:\mathrm{2a}}\:\mathrm{cos}\:\mathrm{a}}{\mathrm{a}\:\mathrm{sin}\:\mathrm{a}\:\mathrm{cos}\:\mathrm{2a}}\:=? \\ $$
Commented by john_santu last updated on 06/Oct/21
Limit = 3
$${Limit}\:=\:\mathrm{3} \\ $$

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