12 terms

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