Difference between revisions of "LimitBelow Command"

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:Returns left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for given value of variable.
 
:Returns left [[w:Limit of a function#One-sided limits|one-sided limit]] of the function for given value of variable.
 
==CAS Syntax==
 
==CAS Syntax==
;LimitBelow[ <Expression f>, <Variable v>, <Value> ]
+
;LimitBelow[ <Expression f>, <Value t> ]
:Returns left one-sided limit of the multivariate function ''f'' for given value of variable ''v''.
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:Computes the left one-sided limit of the function ''f'' for the given value ''t''.
:{{Example|1=<code><nowiki>LimitBelow[ 1/x, x, 0 ]</nowiki></code>  returns <math>-\infty</math>.}}
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:{{example|1=<div><code><nowiki>LimitBelow[1 / x, 0]</nowiki></code>  yields <math>-\infty</math> .</div>}}
{{Note|See also [[Limit Command]] and [[LimitAbove Command]].}}
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;LimitBelow[ <Expression f>, <Variable v>, <Value t> ]
 +
:Computes the left one-sided limit of the multivariate function ''f'' for the given value ''t'' of the given variable ''v''.
 +
:{{example|1=<div><code><nowiki>LimitBelow[1 / a, a, 0]</nowiki></code>  yields  <math>-\infty</math> .</div>}}
 +
{{note| 1=<div>See also [[Limit Command]] and [[LimitAbove Command]].</div>}}

Revision as of 13:09, 18 August 2011



LimitBelow[ <Function>, <Value> ]
Returns left one-sided limit of the function for given value of variable.

CAS Syntax

LimitBelow[ <Expression f>, <Value t> ]
Computes the left one-sided limit of the function f for the given value t.
Example:
LimitBelow[1 / x, 0] yields -\infty .
LimitBelow[ <Expression f>, <Variable v>, <Value t> ]
Computes the left one-sided limit of the multivariate function f for the given value t of the given variable v.
Example:
LimitBelow[1 / a, a, 0] yields -\infty .
Note:
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