12 terms

4 Known Power Series

STUDY
PLAY
First 4 terms of series of f(x)=1/(1-x)
1 + x + x^2 + x^3
First 4 terms of series of f(x) = e^x
1 + x + x^2/2! + x^3/3!
First 4 terms of series of f(x) = sinx
x - x^3/3! + x^5/5! - x^7/7!
First 4 terms of series of f(x) = cosx
1 - x^2/2! + x^4/4! - x^6/6!
((-1)^n * x^(2n))/(2n)!
general term for cosx
x^n
general term for 1/(1-x)
((-1)^n * x^(2n+1))/(2n+1)!
general term for sinx
x^n/n!
general term for e^x
First 4 terms of derivative of series of f(x) = 1/(1-x)
1 + 2x + 3x^2 + 4x^3
First 4 terms of integral of series of f(x) = 1/(1-x)
x + x^2/2 + x^3/3 + x^4/4
Sum of a geometric series
a/(1-r)
First 4 terms of series of 1/(1+2x)
1-2x + (-2x)^2 + (-2x)^3