Difference between revisions of "009C Sample Final 3, Problem 3"

Revision as of 11:44, 18 February 2017

Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test.

\sum _{n=1}^{\infty }{\frac {n^{3}+7n}{\sqrt {1+n^{10}}}}

Solution:

(a)

Step 2:

(b)

Step 2:

Final Answer:
(a)
(b)

@@ Line 1: / Line 1: @@
-<span class="exam">Compute
+<span class="exam">Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test.
-::<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} \frac{n^3+7n}{\sqrt{1+n^{10}}}</math>
-::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"