MatheAss 9.0Analysis

Series Expansion

Plotter for functions given as a series Σ f(x, k). The expansions in a series can be compared with different parameter ranges. For easier distinction, they can be displaced in y-direction.

For k and positive integer terms of k you may use the function fac(k) to calculate the factorial which is often used in serial expansions.


is a series expansion of the sine function.

f(x,k) = x^(2*k-1)/fac(2*k-1)*(-1)^(k+1)

f1: k from 1 to 4     displaced by   dy = 2
f2: k from 1 to 8     displaced by   dy = 1
f3: k from 1 to 16   displaced by   dy = 0

See also:

Supported Functions
Adjusting the Coordinate System
Wikipedia: Taylor series