Textbook ExpertVerified Tutor
9 Nov 2021
Given information
The radius of convergence of the power series is .
Step-by-step explanation
Step 1.
Now for the series , .
Applying ratio test:
For the series to be convergent, :
Thus,
Therefore,
The radius of convergence of the power series is .
Now for the series , .
Applying ratio test:
For the series to be convergent, :
Thus,
Therefore,