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Question Number 100649 by mathmax by abdo last updated on 28/Jun/20
calculate Σ_(n=0) ^∞  (((−1)^n )/(3n+1)) and Σ_(n=0) ^∞  (((−1)^n )/(4n+1))
$$\mathrm{calculate}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{3n}+\mathrm{1}}\:\mathrm{and}\:\sum_{\mathrm{n}=\mathrm{0}} ^{\infty} \:\frac{\left(−\mathrm{1}\right)^{\mathrm{n}} }{\mathrm{4n}+\mathrm{1}} \\ $$

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