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Question-213738




Question Number 213738 by Spillover last updated on 15/Nov/24
Answered by MrGaster last updated on 03/Feb/25
=(1/2)ln^2 2+Σ_(n=1) ^∞ (((−1)^(n+1) )/(2^n n^2 ))
$$=\frac{\mathrm{1}}{\mathrm{2}}\mathrm{ln}^{\mathrm{2}} \mathrm{2}+\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{\mathrm{2}^{{n}} {n}^{\mathrm{2}} } \\ $$

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