On the Sum of a Series
Le Li · Studies in College Mathematics · 2011
Applying the Parseval formula to the function f(x)=xk,the sum of the series sum 1/n~(2k) from n=1 to ∞ is obtained,which can be proved to have the expression π2k/dk by using the second type mathematical induction.The constant dk can be determined based on our proof procedure.