How do you do the Taylor series expansion for #f(x)=x/(1-x)# at a=1? Calculus Power Series Constructing a Taylor Series 1 Answer Andrea S. Jun 17, 2017 You cannot because #f(x)# is not continuous for #x=1# 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 1791 views around the world You can reuse this answer Creative Commons License