student(deprecated)/Limit - 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.

 > $\mathrm{with}\left(\mathrm{student}\right):$
 > $\underset{x→4}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\left({x}^{3}+3{x}^{2}+x+1\right)$
 $\underset{{x}{→}{4}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\left({{x}}^{{3}}{+}{3}{}{{x}}^{{2}}{+}{x}{+}{1}\right)$ (1)
 > $\underset{x→{0}^{+}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\frac{1}{x}$
 $\underset{{x}{→}{{0}}^{{+}}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\frac{{1}}{{x}}$ (2)
 > $\underset{x→0, real}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\frac{1}{x}$
 $\underset{{x}{→}{0}{, real}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\frac{{1}}{{x}}$ (3)
 > $\mathrm{expand}\left(\underset{x→4}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}\left({x}^{3}+3{x}^{2}+x+1\right)\right)$
 ${\left(\underset{{x}{→}{4}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{x}\right)}^{{3}}{+}{3}{}{\left(\underset{{x}{→}{4}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{x}\right)}^{{2}}{+}\underset{{x}{→}{4}}{{lim}}\phantom{\rule[-0.0ex]{0.4em}{0.0ex}}{x}{+}{1}$ (4)
 > $\mathrm{value}\left(\right)$
 ${117}$ (5)