Series Convergence Practice Problems Determine if â an ...
Series Convergence Practice Problems Determine if â an ...
Series Convergence Practice Problems Determine if â an ...
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
<strong>Determine</strong> <strong>if</strong><br />
<strong>Series</strong> <strong>Convergence</strong> <strong>Practice</strong> <strong>Problems</strong><br />
∞∑<br />
i=1<br />
a n<br />
converges or diverges. Just<strong>if</strong>y your <strong>an</strong>swer.<br />
1.<br />
a n = − n3<br />
2 n<br />
Converges absolutely, use ratio or root test.<br />
2.<br />
( ) n n + 2<br />
a n =<br />
n<br />
Diverges, calculate lim n→∞ a n .<br />
3.<br />
a n =<br />
n 5/7<br />
3n 13/7 + 4<br />
Converges, compare to 1/n p<br />
4.<br />
a 1 = 1, a n+1 = −<br />
n<br />
n + 1 a n<br />
Converges, write out a n in terms of n <strong>an</strong>d use alternating series test.
5.<br />
Converges, use ratio test.<br />
a n = 3n (n!) 2<br />
(2n)!
Change language