## Quick Reference

The application of the Maclaurin series to (1+*x*)* ^{n}*, for any value of

*n*:, where is a binomial coefficient. The series converges and the expansion is valid in the following cases:

*n*, if −1<

*x*<1,

*x*, if

*n*is a non-negative integer, in which case the series is finite, since (nr)=0 for

*r*>

*n*, and the expansion is that given in the binomial theorem.

*n*, if −1<*x*<1,

*x*, if *n* is a non-negative integer, in which case the series is finite, since (nr)=0 for *r*>*n*, and the expansion is that given in the binomial theorem.

*Subjects:*
Probability and Statistics.

## Related content in Oxford Index

##### Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.