# Quality of Approximation by Geometric Series

Quality of Approximation by Geometric Series

This Demonstration shows graphically and numerically the quality of approximating the function values of for any by the Taylor polynomial , where .

f(x)=

1

1-x

x∈(-1,1)

p(x)=1+x++...+

2

x

n

x

n=0,1,2,…,50