Series expansion
The program plots functions defined by a series expansion Σ ƒ(x, k) where f(x, k) represents the k‑th term of a Taylor series or another mathematical series.
The user can specify the range of k, shift the graphs vertically for comparison, and use functions such as fac(k) for factorials, which frequently appear in Taylor series expansions.
Example:
$ \qquad\displaystyle\sum_{k=1}^{n} (-1)^{k+1} \frac{x^{2k-1}}{(2k-1)!} $ is a Taylor 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 shifted by dy = 2 ƒ2: k from 1 to 8 shifted by dy = 1 ƒ3: k from 1 to 16 shifted by dy = 0
See also:
Supported FunctionsSetting the graphics
Wikipedia: Taylor series