nth term test
lim lim(n??) ?an ? 0
nth Term test, diverges if:
Geometric Series.
|r|?1
Geometric Series, Diverges if:
Geometric Series
|r|<1
Geometric Series, Converges to (a/r-1) if:
P series
p>1
P series, converges if:
P series
p?1
P series, diverges if:
Integral Test
??? f(x)dx converges
Integral test, converges if:
Integral Test
??? f(x)dx diverges
Integral test, diverges if:
Comparison
lim n?? ?an/?bn = c > 0
Comparison, both converge or diverge if:
Comparison
lim n?? ?an/?bn = 0 and ?bn converges
Comparison, ?an converges if:
Comparison
lim n?? ?an/?bn = ? and ?bn diverges
Comparison, ?an diverges if:
