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

Revision as of 11:16, 18 February 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">Compute
+::<span class="exam">a) Find the radius of convergence for the power series
-::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
+::::::<math>\sum_{n=1}^{+\infty} (-1)^n \frac{x^n}{n}.</math>
-::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
+::<span class="exam">b) Find the interval of convergence of the above series.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"