Monday, 16 September 2013

real analysis - Computing sumngeq0nfrac14n



Can I compute the sum
n0n14n


by use of some trick?



First I thought of a geometrical series?


Answer



This is very similar to the geometric series, infact n=0nxn=xddxn=0xn=xddx11x=x(1x)2



Plugging in x=1/4 will provide you with an answer.


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