Term
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Definition
Converges if R<1
Diverges if R>1
S = a/1-R |
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Term
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Definition
| If lim of An does not exist or lim is not equal to zero then the series is divergent. |
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Term
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Definition
1/n^p
Converges if p>1 diverges if p <= 1 |
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Term
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Definition
1/n
harmonic series and diverges |
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Term
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Definition
1. Lim An/Bn = c>0 then both converge or diverge.
2. If lim An/Bn = 0 then if Bn converges, both converge
3. If lim An/Bn = inf. then if Bn diverge, both diverge. |
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Term
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Definition
An -> lim (An+1)/An = L
1. Converges if L<1
2. Diverges if L>1 or infinite
3. Inconclusive if L=1 |
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Term
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Definition
An > 0 for n>= N and lim sqrt of n(An)=p
1. Converges if p<1
2. Diverges if p>1 or infinite
3. Inconclusive if p=1 |
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Term
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Definition
cn(x-1)^n
1. Converges only when x=a
2. The series converges for all x
3. Converges if (x-a)R |
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