What is an example of a Taylor Series? Calculus Power Series Constructing a Taylor Series 1 Answer Jim H Mar 23, 2015 Expand f(x)=e^x at 0. f^((n))(x)=e^x, so f^((n))(0)=1. e^x=1+x/1+x^2/(2!)+x^3/(3!)+x^4/(4!)+ * * * Or the geometric series: 1/(1-x)=1+x+x^2+x^3+x^4+ * * * Answer link Related questions How do you find the Taylor series of f(x)=1/x ? How do you find the Taylor series of f(x)=cos(x) ? How do you find the Taylor series of f(x)=e^x ? How do you find the Taylor series of f(x)=ln(x) ? How do you find the Taylor series of f(x)=sin(x) ? How do you use a Taylor series to find the derivative of a function? How do you use a Taylor series to prove Euler's formula? How do you use a Taylor series to solve differential equations? What is the Taylor series of f(x)=arctan(x)? What is the linear approximation of g(x)=sqrt(1+x)^(1/5) at a =0? See all questions in Constructing a Taylor Series Impact of this question 1850 views around the world You can reuse this answer Creative Commons License