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.

$\mathrm{with}\left(\mathrm{student}\right)\:$

$\mathrm{Limit}\left(x^3+3x^2+x+1\,x=4\right)$

$\underset{x\to 4}{lim}\left(x^3+3x^2+x+1\right)$

$\mathrm{Limit}\left(\frac{1}{x}\,x=0\,\mathrm{right}\right)$

$\underset{x\to 0+}{lim}\frac{1}{x}$

$\mathrm{Limit}\left(\frac{1}{x}\,x=0\,\mathrm{real}\right)$

$\mathrm{Limit}\left(\frac{1}{x}\,x=0\,\mathrm{real}\right)$

$\mathrm{expand}\left(\mathrm{Limit}\left(x^3+3x^2+x+1\,x=4\right)\right)$

${\left(\underset{x\to 4}{lim}x\right)}^3+3{\left(\underset{x\to 4}{lim}x\right)}^2+\left(\underset{x\to 4}{lim}x\right)+1$

$\mathrm{value}\left(\right)$

$117$