Saturday, June 13, 2020

Graph Gallery Series with GeoGebra

Graph Gallery Series with GeoGebra

The following graphs are from one to five terms of an infinite series of the form:

Σ f(n,x) from n = 0 to ∞

I use the GeoGebra online graphing tool, it is a great online, and free, graphing, mathematics, and geometry app.  Check GeoGebra out at https://www.geogebra.org

Enjoy!

Series 1: 

Σ( n * x ) from n = 0 to ∞

Σ( n * x ) from n = 0 to ∞


Series 2:

Σ( x^n * e^(-n*x) ) from n = 0 to ∞

Σ( x^n * e^(-n*x) ) from n = 0 to ∞


Series 3:

Σ( x^(-n) ) from n = 0 to ∞

Σ( x^(-n) ) from n = 0 to ∞


Series 4:

Σ( n * erf((n * x) / (n + 1)) ) from n = 0 to ∞

Σ( n * erf((n * x) / (n + 1)) ) from n = 0 to ∞


Series 5:

Σ( n * sin x + sin( x * n ) ) from n = 0 to ∞

Σ( n * sin x + sin( x * n ) ) from n = 0 to ∞


Series 6:

Σ( x^(-n) * cos( x * n ) ) from n = 0 to ∞

Σ( x^(-n) * cos( x * n ) ) from n = 0 to ∞
One of my favorite pictures.  I used this as a wallpaper on my PC.  Eddie 



Eddie

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