Difference between revisions of "009C Sample Midterm 1, Problem 5"

Revision as of 08:44, 5 February 2017

Find the radius of convergence and interval of convergence of the series.

a)

\sum _{n=0}^{\infty }{\sqrt {n}}x^{n}

b)

\sum _{n=0}^{\infty }(-1)^{n}{\frac {(x-3)^{n}}{2n+1}}

Solution:

(a)

Step 1:

Step 2:

(b)

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
-<span class="exam">
+<span class="exam"> Find the radius of convergence and interval of convergence of the series.
-::<span class="exam">a)
-::<span class="exam">b)
+::<span class="exam">a) <math>\sum_{n=0}^\infty \sqrt{n}x^n</math>
+::<span class="exam">b) <math>\sum_{n=0}^\infty (-1)^n \frac{(x-3)^n}{2n+1}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"