Power Series

Prove that:

    \[\frac{e^{6}-1}{e^{3}}=2\left[3+\frac{3^{3}}{3!}+\frac{3^{5}}{5!}+\dots \right]\]

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 3a, Question 9, p. 39)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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