Difference between revisions of "009C Sample Final 2, Problem 4"

Revision as of 17:40, 4 March 2017

(a) Find the radius of convergence for the power series

\sum _{n=1}^{+\infty }(-1)^{n}{\frac {x^{n}}{n}}.

(b) Find the interval of convergence of the above series.

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
 <span class="exam">(a) Find the radius of convergence for the power series
-::::::<math>\sum_{n=1}^{+\infty} (-1)^n \frac{x^n}{n}.</math>
+::<math>\sum_{n=1}^{+\infty} (-1)^n \frac{x^n}{n}.</math>
 <span class="exam">(b) Find the interval of convergence of the above series.