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Ratio Test
L<1 convergent, L=1= Inconclusive (use other test), L>1 or infinity Divergent
Root Test
L<1 Convergent, L>1 Divergent, L=1 Inconclusive
P series
p>1 Convergent, p≤1 Divergent
Direct Comparsion test
Take out useless numbers
If bigger converges then smaller converges.
If smaller diverge them bigger diverge.
If backwards, it’s inconclusive
Integral Test
The function has to be positive, continuous, & decreasing on the interval 0-infinity. If the integral equals a finite value, it converges; if it equals infinity, it diverges
N-th term test
If lim n→∞ an=0 then it inconclusive; if not then it diverges
Limit comparison test
If 0≤an & 0<bn & lim n→∞ =L
where 0<L
if bn converges then an will
& vice versa & same applies to diverge