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3. What is the value of the series\[\left(1-\frac{1}{2 !}+\frac{1}{4 !}-\cdots\right)^{2}+\left(1-\frac{1}{3 !}+\frac{1}{5 !}-\cdots\right)^{2} ?\] |
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Answer» Given expression = {(e+e^-1)/2}^2+{e-e^-1)/2}^2 =1/4×2(e^2+e^-2) =1/2(e^2+e^-2) |
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