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Question: Answered & Verified by Expert



is equal to
MathematicsLimitsKCETKCET 2008
Options:
  • A $\infty$
  • B 0
  • C 2
  • D $\frac{1}{2}$
Solution:
2934 Upvotes Verified Answer
The correct answer is: 2
$\lim _{x \rightarrow \infty} x \sin \left(\frac{2}{x}\right)=\lim _{x \rightarrow 0} \frac{\sin \left(\frac{2}{x}\right)}{\frac{1}{2}\left(\frac{2}{x}\right)}=2$

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