Re: Limits and Direction
- To: mathgroup at smc.vnet.net
- Subject: [mg93846] Re: [mg93818] Limits and Direction
- From: Murray Eisenberg <murray at math.umass.edu>
- Date: Thu, 27 Nov 2008 05:28:51 -0500 (EST)
- Organization: Mathematics & Statistics, Univ. of Mass./Amherst
- References: <200811261016.FAA19791@smc.vnet.net>
- Reply-to: murray at math.umass.edu
Actually, the meaning of that option is perfectly reasonable: it means that the limit is taken as values of the variable march in the same direction as the direction of 1 from the origin, that is, towards increasing values. Thus: limit from the left. The trouble, of course, is that this mnemonic can be misinterpreted to mean that the variable is approaching the fixed value FROM the direction that is the direction of 1 from 0, that is, from the right. "Intuitive" is in the mind of the beholder. stpatryck wrote: > Fellow Mathematica Users: > > Why is it that when using the Limit[ ] function, Direction -> 1 > indicates a left hand limit? This really seems counterintuitive. > > Is there a way to switch it? > > > Thanks, > Patrick > -- Murray Eisenberg murray at math.umass.edu Mathematics & Statistics Dept. Lederle Graduate Research Tower phone 413 549-1020 (H) University of Massachusetts 413 545-2859 (W) 710 North Pleasant Street fax 413 545-1801 Amherst, MA 01003-9305
- References:
- Limits and Direction
- From: stpatryck <stpatryck@gmail.com>
- Limits and Direction