Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-28T09:16:56.607Z Has data issue: false hasContentIssue false
  • English
  • Français

101.28 The versatile exponential inequality ex ⩾ 1 + x

Published online by Cambridge University Press:  16 October 2017

Nick Lord
Nick Lord*
Affiliation:
Tonbridge School, Kent TN9 1JP
Get access Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Information
The Mathematical Gazette , Volume 101 , Issue 552 , November 2017 , pp. 470 - 475
Copyright
Copyright © Mathematical Association 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Bromwich, T. J. I’A., An introduction to the theory of infinite series (2nd edn.), Macmillan (1959) p. 450.Google Scholar
2. Bradley, D. M., An infinite series for the natural logarithm that converges throughout its domain and makes concavity transparent (2012) http://arxiv.org/abs/1204.3937 Google Scholar
3. Honsberger, R., Mathematical gems II, Math. Assoc. of America (1976) p. 178.Google Scholar
4. Niven, I., Maxima and minima without calculus, Math. Assoc. of America (1981) pp. 240–242.Google Scholar
5. Dörrie, H., 100 great problems of elementary mathematics, Dover (1965) p. 359.Google Scholar
6. Beevers, B. S., The greatest product, Math. Gaz. 77 (March 1993) p. 91.CrossRefGoogle Scholar
7. Lord, N., On inequalities equivalent to the inequality of the means, Math. Gaz. 92 (November 2008) pp. 529–533.CrossRefGoogle Scholar
8. Pólya, G. & Szegő, G., Problems and theorems in analysis I, Springer (1976) p. 58.CrossRefGoogle Scholar
9. Spivak, M., Calculus (2nd edn.), Publish or Perish (1980) p. 371.Google Scholar
10. Young, R. M., On evaluating the probability integral, Math. Gaz. 95 (July 2011) pp. 311–313.CrossRefGoogle Scholar
11. Lord, N. J., The birthday distribution: a quick approximation, Math. Gaz. 68 (October 1984) pp. 203–204.CrossRefGoogle Scholar
12. Lord, N., A quick evaluation of , Math. Gaz. 100 (July 2016) pp. 321–323.CrossRefGoogle Scholar