Question

help me to solve this using maclaurien series and expand to the first three terms..
e^(1/1-x)

Answer 1

Maclaurien series
f(x)=f(0)+f^'(0)x+(f^('')(0))/(2!)x^2+(f^((3))(0))/(3!)x^3+...+(f^((n))(0))/(n!)x^n+....

Source: http://www.mathskey.com/question2answer/

Answer 2

use Taylor expansion for exp(x) and do it for 1/1-x

Answer 3

after that, doesnt need to differentiate?

Answer 4

why do you need differential
just replace x with 1/1-x
and do some simlification
you can do it with the definition way if you want
it involves two derivatives i guess

Answer 5

\(\huge \it\color{maroon}{ 1+x+\frac{x^2}{2} }\)
this are the first terms for e^x

Answer 6

thanks for your help btw, get clear a bit :)