Difference between revisions of "Limit Command"

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==CAS Syntax==
 
==CAS Syntax==
 
;Limit[ <Expression f>, <Value t> ]
 
;Limit[ <Expression f>, <Value t> ]
:Computes limit of function ''f'' for ''x=t''.
+
:Computes the limit of function ''f'' for ''x = t''.
 
:{{example|1=<div><code><nowiki>Limit[a sin(x)/x, 0 ]</nowiki></code>  yields ''a'' .</div>}}
 
:{{example|1=<div><code><nowiki>Limit[a sin(x)/x, 0 ]</nowiki></code>  yields ''a'' .</div>}}
 
;Limit[ <Expression f>, <Variable v>, <Value t> ]
 
;Limit[ <Expression f>, <Variable v>, <Value t> ]
:Computes limit of multivariate function ''f'' for ''v=t''.
+
:Computes limit of multivariate function ''f'' for ''v = t''.
 
:{{example|1=<div><code><nowiki>Limit[a sin(v)/v, v, 0 ]</nowiki></code>  yields ''a'' .</div>}}
 
:{{example|1=<div><code><nowiki>Limit[a sin(v)/v, v, 0 ]</nowiki></code>  yields ''a'' .</div>}}
 
{{note|See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].}}
 
{{note|See also [[Asymptote Command]], [[LimitAbove Command]] and [[LimitBelow Command]].}}

Revision as of 13:03, 18 August 2011



Limit[ <Function f>, <Value t> ]
Computes limit of function f for given value of function variable (may be infinity).

CAS Syntax

Limit[ <Expression f>, <Value t> ]
Computes the limit of function f for x = t.
Example:
Limit[a sin(x)/x, 0 ] yields a .
Limit[ <Expression f>, <Variable v>, <Value t> ]
Computes limit of multivariate function f for v = t.
Example:
Limit[a sin(v)/v, v, 0 ] yields a .
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