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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Limits

NDA 2018 · Mathematics · Limits

What is _ x arrow 0 ( x)/( 2 x) equal to?

What is lim⁡x→0tan⁡xsin⁡2x\lim _{x \rightarrow 0} \frac{\tan x}{\sin 2 x} equal to?

Options

  1. A12\frac{1}{2}
  2. B11
  3. C2
  4. DLimit does not exist

Correct answer

A. 12\frac{1}{2}

Step-by-step solution

\lim _{x \rightarrow 0} \frac{\tan x}{\sin 2 x}=\lim _{x \rightarrow 0} \frac{\frac{\tan x}{x}}{2\left(\frac{\sin 2 x}{2 x}\right)}=\frac{1}{2}
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