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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Limits

NDA 2013 · Mathematics · Limits

What is _ x arrow 0 ( x)/(π-x) equal to?

What is lim⁡x→0cos⁡xπ−x\lim _{x \rightarrow 0} \frac{\cos x}{\pi-x} equal to?

Options

  1. A0
  2. Bπ\pi
  3. C1π\frac{1}{\pi}
  4. D11

Correct answer

C. 1π\frac{1}{\pi}

Step-by-step solution

lim⁡x→0cos⁡xπ−x=cos⁡(0)π−0=1π\lim _{x \rightarrow 0} \frac{\cos x}{\pi-x}=\frac{\cos (0)}{\pi-0}=\frac{1}{\pi}.
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