Choose the correct answer. _ x x- is: - Vidyadip

MCQ

Choose the correct answer.
$\lim\limits_{\text{x} \rightarrow \pi}\frac{\sin\text{x}}{\text{x}-\pi}$ is:

A
1
B
2
C
-1
D
-2

✓

Answer

-1

Solution:

Given, $\lim\limits_{\text{x} \rightarrow \pi}\frac{\sin\text{x}}{\text{x}-\pi}=\lim\limits_{\text{x} \rightarrow\pi}\frac{\sin(\pi)-\text{x}}{-(\pi-\text{x})}$

$=-1$

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