_ x 1 (1+ )πx: - Vidyadip

MCQ

$\lim_\limits{\text{x} \rightarrow 1}(1+\sin\pi)π\text{x}:$

A
$ \pi$
B
$ { \pi }^{ 2 }$
C
$ { \pi }^{ 3 }$
D
$ 1/\pi1$

✓

Answer

$ \pi$

Solution:

$=\lim_\limits{\text{x} \rightarrow 1}(1+\sin\pi)π\text{x}$

$= (1+\sin \pi(1))\\ $

$=\pi(1+0)$

$= \pi$

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