LIMIT _ _ _ _ _ _ _ _ _ _ _ _ operator
LIMITS is a fast limit package for REDUCE for functions which are continuous except for computable poles and singularities, based on some earlier work by Ian Cohen and John P. Fitch. The Truncated Power Series package is used for non-critical points, at which the value of the function is the constant term in the expansion around that point. l'Hopital's rule is used in critical cases, with preprocessing of 1-1 forms and reformatting of product forms in order to apply l'Hopital's rule. A limited amount of bounded arithmetic is also employed where applicable.
limit!+(<expr>,<var>,<limpoint>) or
limit!-(<expr>,<var>,<limpoint>)
where <expr> is an expression depending of the variable <var> (a kernel) and <limpoint> is the limit point. If the limit depends upon the direction of approach to the <limpoint>, the operators limit!+ and limit!- may be used.
limit(x*cot(x),x,0); 0 limit((2x+5)/(3x-2),x,infinity); 2 -- 3