No CrossRef data available.
Article contents
184. [I. 1.] The third approximation to the nth root of a number
Published online by Cambridge University Press: 03 November 2016
Abstract
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Aarticle%3AS0025557200191260/resource/name/firstPage-S0025557200191260a.jpg)
- Type
- Mathematical Notes
- Information
- Copyright
- Copyright © Mathematical Association 1906
References
page 275 note * To reduce this to the form given, write x = N/an, and multiply both sides by a.
page 276 note * If a, b, n are all greater than 1, an−bn>n(a-b). This is obvious on division if n is an integer ; if n is not an integer we have
if x>l. Thus xn−l>n(x−l). Write x=a/b, and the result follows.