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Question

Mathematics Question on Limits

lim⁡x→π21+cos⁡2xcot⁡3x(3sin⁡2x−1)=\lim_{x \to \frac{\pi}{2}} \frac{1+ \cos2x }{\cot3x \left(3^{\sin2x} - 1\right)} =

A

13log⁡9\frac{1}{3 \log 9}

B

23log⁡3\frac{2}{3 \log 3}

C

13log⁡3\frac{1}{3 \log 3}

D

3log⁡3\frac{3}{ \log 3}

Answer

13log⁡3\frac{1}{3 \log 3}

Explanation

Solution

Answer (c) 13log⁡3\frac{1}{3 \log 3}