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KCET · Maths · Limits




is equal to

  1. A \(\infty\)
  2. B 0
  3. C 2
  4. D \(\frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) 2

Step-by-step Solution

Detailed explanation

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