Power series expansions Flashcards
1
Q
cos x
A
cos x = Σ (-1)^n x^2n / (2n)!
R=+inf
2
Q
sin x
A
sin x = Σ (-1)^n x^(2n+1) / (2n+1)!
R=+inf
3
Q
exp(x)
A
exp(x) = Σ x^n / n!
R=+inf
4
Q
cosh(x)
A
cosh(x) = Σ x^2n / (2n)!
R=+inf
5
Q
sinh(x)
A
sinh(x) = Σ x^(2n+1) / (2n+1)!
R=+inf
6
Q
1/(1+x)
A
1/(1+x) = Σ (-1)^n*x^n
R=+inf
7
Q
ln(1+x)
A
ln(1+x) = Σ(n=1…inf) (-1)^(n+1) x^n / n
R=1
8
Q
1/(1-x)
A
1/(1-x) = Σ(n=0…inf) x^n
9
Q
-ln(1-x)
A
-ln(1-x) = Σ x^n / n
R=1
