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Find-the-lim-0-3-sin-1-




Question Number 26534 by chernoaguero@gmail.com last updated on 26/Dec/17
Find  the  lim_(θ→0)   ((3^(sin θ) −1)/θ)
$$\mathrm{Find}\:\:\mathrm{the} \\ $$$$\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{3}^{\mathrm{sin}\:\theta} −\mathrm{1}}{\theta} \\ $$
Commented by kaivan.ahmadi last updated on 26/Dec/17
hop  lim_(θ→0)  cosθ3^(sinθ) ln3=ln3
$$\mathrm{hop} \\ $$$$\underset{\theta\rightarrow\mathrm{0}} {\mathrm{lim}}\:\mathrm{cos}\theta\mathrm{3}^{\mathrm{sin}\theta} \mathrm{ln3}=\mathrm{ln3} \\ $$
Commented by chernoaguero@gmail.com last updated on 26/Dec/17
Thank
$$\mathrm{Thank} \\ $$

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