Objetivo del applet

Representation of power series.

Input data

The user defines the power series to represent, the limits of the sum and the number of points to represent.

Output data

Representation of power series.

Expression of the series.

Observations

The user can select which output data display.

The user can mark points within the radius of convergence.

You can adjust the graphical view to the series.

You can adjust the graphical view to the radius of convergence of the series.

Convergence criterion:

The convergence will tend to a number, called radius of convergence (ρ).

The series will be absolutely convergent between (x0-ρ,x0+ρ).

The first steps

• Calculate the radius of convergence of Σ1/n(x-3)^n
• Calculate the radius of convergence of Σn^2(x+2)^n
• Converges the power series Σx^n en x=0.5?
      a)Calculate the radius of convergence ρ

      b)Analyzes convergence at the points x =- 1 and x = 1