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Math 141 series
series to memorize
| function | series |
|---|---|
| e^x | x^n/n! |
| 1/(1-x) | x^n |
| sin(x) | (-1)^n x^(2n+1)/(2n+1)! |
| cos(x) | (-1)^n x^2n/(2n)! |
| arctan(x) | (-1)^n x^(2n+1)/(2n+1) |
| ln(1+x) | (-1)^(n-1) x^n/n |
| (1+x)^k | x^n (k(k-1)+(k-n+1))/n! |