- #1
rman144
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I need to know if the following series converges:
∑(k=1 to k=oo)[(((-1)^k) ζ(k))/(e^k)]
The problem is that zeta(1)=oo; however, the equation satisfies the conditions of convergence for an alternating series [the limit as k->oo=0 and each term is smaller than the last.]
Any thoughts?
∑(k=1 to k=oo)[(((-1)^k) ζ(k))/(e^k)]
The problem is that zeta(1)=oo; however, the equation satisfies the conditions of convergence for an alternating series [the limit as k->oo=0 and each term is smaller than the last.]
Any thoughts?
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