a) The radius of convergence is calculated as
R=1.
b) Due to the fact that it converges in every direction, the radius of convergence is either infinity or zero.
<h3>What is the associated radius of convergence.?</h3>
(a)
Take into consideration the function f with respect to the number a,
In case you forgot, the Taylor series for the function $f$ at the number a looks like this:
Determine the function f as well as any derivatives of the function $f by setting a=1 and working backward from there.
At the point when a = 1, the Taylor series for the function f looks like this:
In conclusion,
Find the radius of convergence by using the Ratio Test in the following manner:
The convergence of the series when L<1, that is, |x-1|<1.
The radius of convergence is calculated as
R=1.
For B
Take into consideration the function f with respect to the number a,
The Taylor series for f(x)=e^{x} at a=0 is,
Due to the fact that it converges in every direction, the radius of convergence is either infinity or zero.
Read more about convergence
brainly.com/question/15415793
#SPJ4
The complete question is attached below