Power Series

Verify that the general term of the expansion of \sin{x} can be expressed as

    \[\left(-1\right)^{n+1}\frac{x^{2n-1}}{\left(2n-1\right)!}\]

and find the corresponding term in the expansion of \cos{x}.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 3c, Question 13, p. 46)

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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