Question

Help with power series!

Answer 1

Follow the steps below to find a power series representation for f(x)=8x2+2x−3:

8/x2+2x−3=A/x−1+B/x+3 , where A = and B = .


Find the first 4 non-zero terms in the power series representation of the following fractions:

1/x−1= +...

1/x+3= +...

Therefore f(x)=8/x2+2x−3=c0+c1x+c2x2+... , where

c0= , c1= , c2= , c3=