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 ∞
Series 2:
Σ( x^n * e^(-n*x) ) from n = 0 to ∞
Series 3:
Σ( x^(-n) ) from n = 0 to ∞
Series 4:
Σ( n * erf((n * x) / (n + 1)) ) from n = 0 to ∞
Series 5:
Σ( n * sin x + sin( x * n ) ) from n = 0 to ∞
Series 6:
Σ( x^(-n) * cos( x * n ) ) from n = 0 to ∞
Eddie
All original content copyright, © 2011-2020. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.
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 ∞
Series 2:
Σ( x^n * e^(-n*x) ) from n = 0 to ∞
Series 3:
Σ( x^(-n) ) from n = 0 to ∞
Series 4:
Σ( n * erf((n * x) / (n + 1)) ) from n = 0 to ∞
Series 5:
Σ( n * sin x + sin( x * n ) ) from n = 0 to ∞
Series 6:
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
All original content copyright, © 2011-2020. Edward Shore. Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited. This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author.