Talk:Hyperbolic growth

This page needs a picture of hyperbolic growth.

This page needs an explanation of what hyperbolic growth means!

(i.e. "grows towards a singularity under finite variation" does not give me any kind of clue) 139.184.30.19 13:31, 18 September 2007 (UTC)[reply]

Expanded! Hope it’s clearer now.

Nils von Barth (nbarth) (talk) 03:17, 11 January 2009 (UTC)[reply]

2012

Please explain why the year 2012 is linked from this page. 85.227.226.243 22:22, 12 October 2007 (UTC)[reply]

Scope of term?

Is the term hyperbolic growth used for:

all growth towards a mathematical singularity (i.e., any function that goes to infinity in finite time), or
only growth that looks like a hyperbola?

I ask because, for instance, $1/x^{2}$ has a singularity (at 0), but the graph is not a hyperbola: thus, strictly speaking, it is not hyperbolic, but perhaps the term is used loosely by analogy.

Any references or experts? Thanks!

Nils von Barth (nbarth) (talk) 03:19, 11 January 2009 (UTC)[reply]

I think replacing $1/x$ with $1/abs(10-x)$ would improve the page. The latter function does grow toward an asymptote, and does have a limit of infinity at $x=10$ . Are there any objections?

Jim Davis 69.170.55.11 (talk) 07:59, 2 March 2013 (UTC)[reply]

Introduction

The introduction states that the limit of 1/x as x aproaches 0 is infinity. But this is not true as the limit as x aproaches 0 from the left equals - infinity and from the right it equals infinity. Therefore the limit does not exist as the left and right hand limits are not equal. — Preceding unsigned comment added by 64.201.214.214 (talk) 20:03, 17 June 2011 (UTC)[reply]

All that was needed here was the single letter change of infinity to infinite. Minus-infinity is still 'infinite'. --Nigelj (talk) 07:42, 8 June 2013 (UTC)[reply]

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