student(deprecated)/Limit - Maple Help

student

 Limit
 inert form of limit

 Calling Sequence Limit(f, x = a) Limit(f, x = a, direction)

Parameters

 f - expression in x x - variable name a - the limiting value for x to approach direction - (optional) one of right, left, real, or complex

Description

 • Important: The student package has been deprecated. Use the superseding package Student instead.
 • This function corresponds to the limit of f as x approaches a. It is an unevaluated'' form of Maple's limit function so only minor simplifications are performed.  It can be manipulated by changevar and expand.
 • Use value to force evaluation by the limit function.
 • The command with(student,Limit) allows the use of the abbreviated form of this command.

Examples

Important: The student package has been deprecated. Use the superseding package Student instead.

 > $\mathrm{with}\left(\mathrm{student}\right):$
 > $\mathrm{Limit}\left({x}^{3}+3{x}^{2}+x+1,x=4\right)$
 $\underset{{x}{\to }{4}}{{lim}}{}\left({{x}}^{{3}}{+}{3}{}{{x}}^{{2}}{+}{x}{+}{1}\right)$ (1)
 > $\mathrm{Limit}\left(\frac{1}{x},x=0,\mathrm{right}\right)$
 $\underset{{x}{\to }{0}{+}}{{lim}}{}\frac{{1}}{{x}}$ (2)
 > $\mathrm{Limit}\left(\frac{1}{x},x=0,\mathrm{real}\right)$
 ${\mathrm{Limit}}{}\left(\frac{{1}}{{x}}{,}{x}{=}{0}{,}{\mathrm{real}}\right)$ (3)
 > $\mathrm{expand}\left(\mathrm{Limit}\left({x}^{3}+3{x}^{2}+x+1,x=4\right)\right)$
 ${\left(\underset{{x}{\to }{4}}{{lim}}{}{x}\right)}^{{3}}{+}{3}{}{\left(\underset{{x}{\to }{4}}{{lim}}{}{x}\right)}^{{2}}{+}\left(\underset{{x}{\to }{4}}{{lim}}{}{x}\right){+}{1}$ (4)
 > $\mathrm{value}\left(\right)$
 ${117}$ (5)