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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Limits

NDA 2013 · Mathematics · Limits

What is _ x arrow 0 1- 1+x x equal to?

What is lim⁡x→01−1+xx\lim _{x \rightarrow 0} \frac{1-\sqrt{1+x}}{x} equal to?

Options

  1. A1/21 / 2
  2. B−1/2-1 / 2
  3. C11
  4. D−1-1

Correct answer

B. −1/2-1 / 2

Step-by-step solution

lim⁡x→0−121+x1=−12\lim _{x \rightarrow 0} \frac{-\frac{1}{2 \sqrt{1+x}}}{1}=-\frac{1}{2}
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