Animated convergence of a series of functions
This applet displays the animated convergence of a series of functions by displaying
first
n partial sums.
Some examples:
 geometric series:
f(x)=1/(1x), g0(x)=1, gn(x)=x^n ,
ili f(x)=1/(1x), gn(x)=x^(n1)
(n always starts at 1)
 power series:
gn=1/(1x^2)
 Taylor (MacLaurin) series:
f(x)=sin(x), gn(x)=x^(2*n1)*(1)^(n1)/(2*n1)!
 Fourier series:
f(x)=abs(sin(2*x))sin(2*x) ,
g0(x)=2/pisin(2*x) ,
gn(x)=4/pi*cos(4*n*x)/(14*n^2) .
You can zoom on the interesting details by clicking the detail with the mouse.
