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A unified method for evaluating several infinite series. (English)
Int. J. Math. Educ. Sci. Technol. 46, No. 4, 630-634 (2015).
Summary: We use a trigonometric identity and integral calculus to evaluate several infinite series; in particular, we deduce the corresponding partial fraction decomposition of $\cot x$, $\operatorname{csc} x$, $\coth x$ and $\operatorname{csch} x$.
Classification: I30 I50
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