Limits

Maple can compute limits of a limited (no pun intended) range of
expressions. The expression in question must be an expression in one
variable, and any other symbolic unknowns must be real and nonzero.  As
with integration, Maple may not be able to find the solution.  In this
case, the command expression is returned in the same fashion as what
happens with integration.  Maple will return "undefined" (if the limit
doesn't exist) or a range (if the limit solution has a range of values).

> limit(cos(x+Pi/2)/x,x=0);
-1
> limit(sin(1/y^2),y=0); 
-1 .. 1
> limit(a*cos(x+Pi)/x,x=0);
undefined