Taylor Polynomial
Exponent matches factorial
Find values of x for which the series converges
-1 < x < 1 ( DIVERGES [ CONVERGES
Maclaurin Series lnx
Maclaurin Series e^x
Maclaruin Series sinx
odd exponents/factorials
Maclaurin Series cosx
even exponents/factorials
nth term
n^x
nth term
≠0… diverge
geo
x^n
geo
|fraction| < 1… converge
|fraction| ≥ 1… diverge
p series
1/n^x
p series
exponent > 1… converge
exponent ≤ 1… diverge
ratio
n, x^n, and factorials… do fun a(n+1) reciprocal stuff!!
ratio
L < 1… converge
L > 1… diverge