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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Limits

NDA 2016 · Mathematics · Limits

What is _ x arrow 0 e^ -(1)/(x^2) equal to?

What is lim⁡x→0e−1x2\lim _{x \rightarrow 0} e^{-\frac{1}{x^2}} equal to?

Options

  1. A0
  2. B1
  3. C–1
  4. DLimit does not exist

Correct answer

A. 0

Step-by-step solution

lim⁡x→0e−1x2=e−10=e−∞=0\lim _{x \rightarrow 0} e^{-\frac{1}{x^2}}=e^{\frac{-1}{0}}=e^{-\infty}=0
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