Problem 61E
Exponential function In Section 9.3, 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 for the following functions. Give the interval of convergence for the resulting series.f(x) = e?3x
Step-by-Step Solution:
Solution 61EStep 1:We are given that for We have to find the power series for To find this it is enough to substitute -3x in place of x in the above expression.Therefore The radius of convergence in the resulting series is Therefore the interval of convergence is
Step 2 of 1
