Sequences and Series Flashcards
1
Q
power series expansion for e^x
A
1 + x/1! + x^2/2! + x^3/3! + …
2
Q
power series expansion for sinx
A
x - x^3/3! + x^5/5! - …
3
Q
power series expansion for cosx
A
1 - x^2/2! + x^4/4! - ….
4
Q
power series expansion for ln(1+x)
A
x - x^2/2 + x^3/3 - x^4/4 + …
5
Q
sum of the first n integers
A
0.5n(n+1)
6
Q
expansion of 1 / 1 - x
A
1 + x + x^2 + x^3 + x^4 + …
