upper and lower bounds to binomial coefficient


Given two integers n,k>0 such that kn, we have the following inequalitiesMathworldPlanetmath for the binomial coefficientDlmfDlmfMathworldPlanetmath (nk):

(nk) nkk!
(nk) (nek)k
(nk) (nk)k

Here e is the base of natural logarithmsMathworldPlanetmathPlanetmath. Also, for large n, (nk)nkk!.

Title upper and lower bounds to binomial coefficient
Canonical name UpperAndLowerBoundsToBinomialCoefficient
Date of creation 2013-03-22 13:29:53
Last modified on 2013-03-22 13:29:53
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 6
Author rspuzio (6075)
Entry type Theorem
Classification msc 05A10