Q212 / 270 · NDA 2013 (Phase 2) · Mathematics

What is $\lim _{x \rightarrow 0} \frac{\cos x}{\pi-x}$ equal to?

  • A
    0
  • B
    $\pi$
  • Correct answer
    C
    $\frac{1}{\pi}$
  • D
    $1$

Solution

$\lim _{x \rightarrow 0} \frac{\cos x}{\pi-x}=\frac{\cos (0)}{\pi-0}=\frac{1}{\pi}$.

Hence, the correct answer is option: 'C'.

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