Question: Given the alternating series cos ( x ) = 1 - x ^ 3 / 2 ! + x ^ 4 / 4 ! -

Given the alternating series cos(x)=1-x^3/2!+ x^4/4!- x^6/6!_... summation n=0 to infinity (-1)^n x^2n/(2n)!, what is the infinite sum of the alternating series summation n=0 to infinity of (-1)^n (2pi)^2n /3^2n (2n)!

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