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

Latest revision as of 12:38, 12 November 2017

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

(a) $\sum _{n=1}^{\infty }n^{n}x^{n}$

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

@@ 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) &nbsp;<math>\sum_{n=1}^\infty n^nx^n</math>
-::<span class="exam">b)
+<span class="exam">(b) &nbsp;<math>\sum_{n=1}^\infty \frac{(x+1)^n}{\sqrt{n}}</math>
+<hr>
+[[009C Sample Midterm 2, Problem 4 Solution|'''<u>Solution</u>''']]
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Foundations: &nbsp;
-|-
-|
-|-
-|
-::
-|-
-|
-::
-|}
-'''Solution:'''
+[[009C Sample Midterm 2, Problem 4 Detailed Solution|'''<u>Detailed Solution</u>''']]
-'''(a)'''
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 1: &nbsp;
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
-|-
-|
-|-
-|
-|}
-'''(b)'''
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 1: &nbsp;
-|-
-|
-|-
-|
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Step 2: &nbsp;
-|-
-|
-|-
-|
-|-
-|
-|-
-|
-|}
-{| class="mw-collapsible mw-collapsed" style = "text-align:left;"
-!Final Answer: &nbsp;
-|-
-|'''(a)'''
-|-
-|'''(b)'''
-|}
 [[009C_Sample_Midterm_2|'''<u>Return to Sample Exam</u>''']]