Question: 1. Consider the integral I = edx. (a) Express the integral I as a limit of a right Riemann sum. (b) Let n E Z+.

1. Consider the integral I = edx. (a) Express the integral

1. Consider the integral I = edx. (a) Express the integral I as a limit of a right Riemann sum. (b) Let n E Z+. Prove that 1 + r+2+ ... + r = =1 for r # 1 r-1 (c) Let r = en in part (a), then evaluate the limit in (a). Hint : sigma notation properties and the formula in part (b) may be of help

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