anonymous
  • anonymous
Supposed p(n)=2^-n represents the nth partial sum of an infinite series Sum[s(n),n=1,Inf.]. Assume s(n) and p(n) are defined for all positive integers. What is the value of Sum[s(n),n=1,Inf.]? A. 0 B. 1 C. 2 D. 3 E. None of the above/ cannot be determined
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Suppose \[p(n)= \frac{1}{2^n}\] represents the nth partial sum of an infinite series:\[\sum_{n=1}^{∞}s(n)\] Assume s(n) and p(n) are defined for all positive integers. What is the value of \[\sum_{n=1}^{∞}s(n)?\]
anonymous
  • anonymous
the limit of the series is the limit of the partial sums. This limit is clearly 0 so the limit of the series is 0.

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