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

Question

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

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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.

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Step 2

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

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Step 3

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

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Math

Calculus

Derivative

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