_ x 1 (1+ )πx: - Vidyadip

MCQ

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

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

✓

Answer

Correct option: A.

$\pi$

$=\lim_\limits{\text{x} \rightarrow 1}(1+\sin\pi)π\text{x}$
$= (1+\sin \pi(1))$
$=\pi(1+0)$
$= \pi$

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