Problem H-2

Due in DSC 203 by 12 Noon, Friday January 25, 2001

Proposed by Griff Elder



Find the sum of the infinite series

\begin{displaymath}S=\sum_{n=0}^\infty\frac{2^n}{a^{2^n}+1}\end{displaymath}

where a>1.




Suggestion: Try and express this as a telescoping series.



Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder


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