Polynomial Approximation of the Exponential Function

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The graph shows plots of (dashed line) and for various values of . It is interesting that for positive values of , the latter expression is a polynomial that converges from below to (the blue and violet lines are the polynomials). For negative values of , the expression is the reciprocal of a polynomial that converges to from above (the green, yellow, and orange curves are the reciprocals of polynomials).

Contributed by: Hein Hundal (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.