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  3. Mathematics
  4. If α= log e √ cot (π/12), then find the value of (( displaystyle∑k=0∞ e-2 k a/ displaystyle∑k=0∞(-1)k e-2 k α))2

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Q. If $\alpha=\log _e \sqrt{\cot \frac{\pi}{12}}$, then find the value of $\left(\frac{\displaystyle\sum_{k=0}^{\infty} e^{-2 k a}}{\displaystyle\sum_{k=0}^{\infty}(-1)^k e^{-2 k \alpha}}\right)^2$

Sequences and Series

Solution:

Correct answer is '3'