Texas Instruments TI-89 and TI-92 Plus Computer |
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Version | 1.2 (Thursday, September 23, 1999) |
Download | [ lim.89f | lim.9xf ] (906 bytes) |
Description | Determines multivariable limits.
1.1: Added the ability to indicate left or right limit for each variable. 1.2: Added some tests that will eliminate some but not all undefined limits. |
Screen shots |
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Documentation | Usage:
lim(expr,VarList,LimitPoints) expr: An EXPR of zero or more variables. VarList: A LIST of the limit variables. LimitPoints: Can be type NUM, LIST, or MAT:
NOTE: This function calls the built-in limit() function n2 times, where n is the number of variables in VarList, so each additional variable in the expression will significantly add to the amount of time it takes to evaluate it. The reason for this is that I cannot come up with a routine that will prove or disprove a limit so I try to eliminate some invalid limits by changing the order in which variables are evaluated. Ideally this would be n! evaluations so n2 is a compromise. Return Value:
Example:
. lim(x2y/(x4+y2),{x,y},{0,0))|y=x2
3. lim(ln(x)+ln(y)+ln(z),{x,y,z},{0,0,0}) [Limit as (x,y,z)
-> (0,0,0)]
lim(ln(x)+ln(y)+ln(z),{x,y,z},[0,1;0,1;0,1])
[Limit as (x,y,z) -> (0+,0+,0+)]
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