MHT CET · Maths · Limits
\(\lim _{x \rightarrow 0} \frac{\mathrm{e}^{x^2}-\cos 3 x}{\sin x \log (1+2 x)}=\)
- A \(\frac{3}{2}\)
- B \(\frac{-3}{2}\)
- C \(\frac{11}{4}\)
- D \(\frac{-11}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{11}{4}\)
Step-by-step Solution
Detailed explanation
\( \lim _{x \rightarrow 0} \frac{(\mathrm{e}^{x^2}-1) - (\cos 3 x-1)}{\sin x \log (1+2 x)} \) \( = \lim _{x \rightarrow 0} \frac{x^2 - (-\frac{(3x)^2}{2})}{x \cdot (2x)} \)
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