MatheAss 9.0Analysis

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 Functions
Adjusting the Coordinate System

Wikipedia: Taylor series

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