Term
|
Definition
| IF lim n->oo An does not exist or != 0, series An is divergent |
|
|
Term
|
Definition
| IF continuous, positive, decreasing on [1,oo), IF f(x) converges so does series An, if not "" |
|
|
Term
|
Definition
| IF series An and Bn are positive, if Bn is convergent and > An, An is convergent. If Bn is divergent and Bn < An, An is divergent. |
|
|
Term
|
Definition
| Series An and Bn positive, if lim n->oo An / Bn = C where C is finite and > 0, both converge or diverge |
|
|
Term
|
Definition
| If decreasing and lim n->oo Bn = 0, converges. |
|
|
Term
|
Definition
| If lim n->oo An+1/An = L, L < 1 Series An is abs. convergent. L > 1 || L = oo series is divergent. L = 1 inconclusive. |
|
|
Term
|
Definition
| IF lim n->oo (An)^1/n = L, L < 1 Series An is abs. convergent. L > 1 || L = oo series is divergent. L = 1 inconclusive. |
|
|
Term
|
Definition
ar^n-1
convergent if |r|<1, sum = a/1-r
divergent if |r|>=1 |
|
|
Term
|
Definition
|
|
Term
|
Definition
| 1/n^p convergent if p>1 else divergent |
|
|
