KCET · Maths · Limits

is equal to
- A \(\infty\)
- B 0
- C 2
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(C) 2
Step-by-step Solution
Detailed explanation
\(\lim _{x \rightarrow \infty} x \sin \left(\frac{2}{x}\right)=\lim _{x \rightarrow 0} \frac{\sin \left(\frac{2}{x}\right)}{\frac{1}{2}\left(\frac{2}{x}\right)}=2\)
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