Symbolic Math Toolbox

limit

Limit of a symbolic expression

Syntax

limit(F,x,a)

• limit(F,a)
  limit(F)
  limit(F,x,a,'right')
  limit(F,x,a,'left')
  

Description

limit(F,x,a) takes the limit of the symbolic expression F as x -> a.

limit(F,a) uses findsym(F) as the independent variable.

limit(F) uses a = 0 as the limit point.

limit(F,x,a,'right') or limit(F,x,a,'left') specify the direction of a one-sided limit.

Examples

Assume

• syms x a t h;
  

Then

• limit(sin(x)/x)                 => 1
  limit(1/x,x,0,'right')          => inf
  limit(1/x,x,0,'left')           => -inf
  limit((sin(x+h)-sin(x))/h,h,0)  => cos(x)
  v = [(1 + a/x)^x, exp(-x)];
  limit(v,x,inf,'left')           => [exp(a),  0]
  

See Also

pretty, ccode, fortran

latex

maple