# calculus

write a power series for e to the 2x and find the interval of convergence

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1. Since e^x = 1 + x + x^2/2! + x^3/3! + ...

e^2x = 1 + 2x + 4x^2/2! + 8x^3/3! + ...

It converges for all x.

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posted by drwls

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