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Using similar logic [n is constant], I came up with s=1. The summation approaches exp(n) with every increase in n. The rate that the summation approaches exp(n) is the problem. Since that n controls the length of the sum and is inside the sum, we cannot treat n as constant.
All my work ends up with either s=0 or s=1, and it all was based on integer values of n being constant.
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