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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Limits

NDA 2014 · Mathematics · Limits

Paragraph : Consider the function f(x)=(1- x)/((π-2 x)^2) , where x...

Paragraph : Consider the function f(x)=1−sin⁡x(π−2x)2f(x)=\frac{1-\sin x}{(\pi-2 x)^2}, where x≠π2x \neq \frac{\pi}{2} and f(π2)=λf\left(\frac{\pi}{2}\right)=\lambda.
Question : What is the value of λ\lambda if the function is continuous at x=π2x=\frac{\pi}{2} ?

Options

  1. A1/81 / 8
  2. B1/41 / 4
  3. C1/21 / 2
  4. D11

Correct answer

A. 1/81 / 8

Step-by-step solution

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