Evaluate _ x 0 [ x x ]^ 1 n : - Vidyadip

MCQ

Evaluate $\lim _{x \rightarrow 0}\left[\frac{\sin \alpha x}{\sin \beta x}\right]^{\frac{1}{n}}$ :

✓
$\left(\frac{\alpha}{\beta}\right)^{\frac{1}{n}}$
B
$\left(\frac{\beta}{\alpha}\right)^{\frac{1}{n}}$
C
$\left(\frac{\alpha}{\beta}\right)^n$
D
$\left(\frac{\beta}{\alpha}\right)^n$

✓

Answer

Correct option: A.

$\left(\frac{\alpha}{\beta}\right)^{\frac{1}{n}}$

A

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