## Series Expansion

Plotter for functions given as a series Σ ƒ(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.

### Example:

is a series expansion of the sine function.

ƒ(x,k) = x^(2*k-1)/fac(2*k-1)*(-1)^(k+1) ƒ1: k from 1 to 4 displaced by dy = 2 ƒ2: k from 1 to 8 displaced by dy = 1 ƒ3: k from 1 to 16 displaced by dy = 0

### See also:

Supported FunctionsSetting the graphics

Wikipedia: Taylor series