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

Revision as of 09:32, 5 February 2017

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

a)

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

b)

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

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">a) <math>\sum_{n=0}^\infty n^nx^n</math>
-::<span class="exam">b)
+::<span class="exam">b) <math>\sum_{n=0}^\infty \frac{(x+1)^n}{\sqrt{n}}</math>