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Calculus Level 3

1+13⋅22+15⋅24+17⋅26+⋯=ln⁡A1+\dfrac{1}{3\cdot 2^2}+\dfrac{1}{5 \cdot 2^4}+\dfrac{1}{7\cdot 2^6}+\cdots =\ln A

Find the positive integer AA.

Akshat Sharda by Akshat Sharda
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