Question

Find the Taylor series for f(x)=e^{-x} at a=1 and determine radius of convergence.

Step 1

We have been given a function and we need to find Taylor series for the function around a=1. Finally, we need to find the radius of convergence of the Taylor series.

Step 2

First of all, we will find first few derivatives of the given function at a = 1 as shown below:

Step 3

We know that Taylor series of a function f(x...

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