table

glossary

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1.
1: series generally start at ___.

2.
1/(n^p): p-series

3.
1/n: harmonic series

4.
2n=evens, 2n+1=odds: rules for sequences defined by recursion

5.
a/(1-r) if r (-1,1), diverges otherwise: sum of a geometric series

6.
an and bn are > or = to 0, an < or equal to bn: rules for comparison test

7.
an and bn are > or = to 0, the limit of an/bn is a finite/non-zero number: rules for limit comparison test

8.
ar^(n-1): geometric series

9.
both series must be convergent: rules for sum/difference of series

10.
convergent: bounded monotonic series are __________.

11.
convergent if p>1, divergent if p<1 or p=1: p-series test

12.
diverge: Does the harmonic series converge or diverge?

13.
diverges: if the limit as n goes to infinity does not equal 0, then the series ____

14.
f is continuous/positive/decreasing: rules for the integral test where an=f(n)

15.
if an diverges bn diverges, if bn converges an converges: comparison test

16.
lim (an+1)=lim (an): if convergent,

17.
the limit as n goes to infinity of an exists: A sequence is convergent if_________.

18.
monotonic: increasing or decreasing

19.
the series an and bn converge and diverge simultaneously: limit comparison test

20.
Sn-S(n-1): an

## Calculus #1Study online at quizlet.com/_qd27 |