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lim-x-pi-4-sin-9-x-1-2-cos-7-x-4x-pi-




Question Number 197054 by cortano12 last updated on 07/Sep/23
      lim_(x→(π/4))  ((sin^9 x−(1/2) cos^7 x)/(4x−π)) =?
$$\:\:\:\:\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{4}}} {\mathrm{lim}}\:\frac{\mathrm{sin}\:^{\mathrm{9}} \mathrm{x}−\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{cos}\:^{\mathrm{7}} \mathrm{x}}{\mathrm{4x}−\pi}\:=? \\ $$
Answered by universe last updated on 07/Sep/23
(1/(4(√2)))
$$\frac{\mathrm{1}}{\mathrm{4}\sqrt{\mathrm{2}}} \\ $$

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