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Category: Relation and Functions

1-calculate-n-0-x-n-4n-2-1-with-x-lt-1-2-find-the-value-of-n-0-1-4n-2-1-and-n-0-1-n-4n-2-1-

Question Number 94331 by mathmax by abdo last updated on 18/May/20 1)calculaten=0xn4n21withx∣<1$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\mathrm{1}}{\mathrm{4}{n}^{\mathrm{2}} −\mathrm{1}}\:{and}\:\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{4}{n}^{\mathrm{2}} −\mathrm{1}}…