Posted by **Cole** on Tuesday, June 18, 2013 at 10:24pm.

By recognizing each series below as a Taylor series evaluated at a particular value of x, find the sum of each convergent series.

A) 1+5 + (5^2)/(2!)+(5^3)/(3!)+(5^4)/(4!)+...+ (5^k)/(k!)+...=

B) 1-(2^2)/(2!)+(2^4)/(4!)-(2^6)/(6!)+...+((-1)^(k)2^(2k))/((2k)!) +...=

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