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