1. The problem statement, all variables and given/known data The question asks me to write out a taylor polynomial for 1/(1-x^2) of degree 2n+1 at 0. 3. The attempt at a solution My answer was 1 + x^2 + x^4 + x^6 + ..... + (x^4)/(1-x^2) which I just got from using hte geometric series formula. The textbook answer however is this: 1 - x^2 + x^4 - ............. + (-1)^n x^2n Am I wrong? I thought so, but I took out a graphing calculator, and the larger I make my polynomial degree, the closer it looks to 1/(1-x^2). So my answer must be correct? thanks
right. that was very blind of me.. thanks! I also don't need to include the remainder term in my answer right? I just stop at 2n, since thats all they want the function to be equal up to