Explore BrainMass

# Taylor series of polynomial of degree 4

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Find the Taylor series generated by F(x)=x^4-2X^3+5X^2-6X+4 at x= -1.

A step by step solution is included to explain the concept of finding taylor series expansion of a given polynomial of degree 4 at a given ponit. The same concept can be applied to find the taylor series expansion of other polynomials and functions.

https://brainmass.com/math/basic-algebra/taylor-series-polynomial-degree-179428

## SOLUTION This solution is FREE courtesy of BrainMass!

Hi, please find the solution attached herewith.

Find the Taylor series generated by F(x) = x^4-2X^3+5X^2-6X+4 at x= -1
Solution:

The Taylor series is given by:

We are given that

F(-1)= 1+2+5+6+4 = 18
More higher derivatives will be 0.

Series will be

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

https://brainmass.com/math/basic-algebra/taylor-series-polynomial-degree-179428