Solution Found!
Radius and interval of convergence Use the
Chapter 1, Problem 20RE(choose chapter or problem)
Radius and interval of convergence Use the Ratio or Root Test to determine the radius of convergence of the following power series. Test the endpoints to determine the interval of convergence, when appropriate.
\(\sum \frac{(x+2)^{k}}{\sqrt{k}}\)
Questions & Answers
QUESTION:
Radius and interval of convergence Use the Ratio or Root Test to determine the radius of convergence of the following power series. Test the endpoints to determine the interval of convergence, when appropriate.
\(\sum \frac{(x+2)^{k}}{\sqrt{k}}\)
ANSWER:Solution 20RE
Step 1:
Here we have to determine the radius of convergence of the .
is a power series .
If the power series converges for |x − c| < R and diverges for |x − c| > R, then 0 ≤ R ≤ ∞ is called the radius of convergence of the power series.