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^n1
convergent if r<1, sum = a/1r divergent if r>=1 


Term

Definition


Term

Definition
1/n^p convergent if p>1 else divergent 

