Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Euler's number

Revision as of 20:18, 23 June 2006 by Me@home (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

The mathematical constant e is defined as the following limit: $e=\lim_{n->\infty}{(1+\frac1n)}^n$. In calculus, the fact that $e^x = \sum{\frac{x^n}{n!}}$ is used often, based on the above definition and the Binomial Theorem.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=Euler%27s_number&oldid=4348"