How do we find the radius of convergence?
I know that we have to use the ratio test to find the
#lim_(x->∞)Abs(U_(k+1)/U_k)#
and then make a conclusion on based on what we get. However, I'm having trouble evaluating the same and making a conclusion.
Please correct me if I'm wrong somewhere.
I know that we have to use the ratio test to find the
and then make a conclusion on based on what we get. However, I'm having trouble evaluating the same and making a conclusion.
Please correct me if I'm wrong somewhere.
1 Answer
Explanation:
Apply the ratio test to the series:
Evaluate the ratio:
Now:
so, whatever is the value of
and the series is absolutely convergent.
We can conclude that the series converges for every