Question: We show that the power series for the exponential function centered at 0 is Use the methods of this section to find the power series

We show that the power series for the exponential function centered at 0 is

Σ e* = for k! 00 k=0

Use the methods of this section to find the power series for the following functions. Give the interval of convergence for the resulting series.

f(x) = e-3x

e* = for k! 00 k=0

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