Investigate how much Maple "knows" about the theorems concerning limits.

Using

In addition to the **limit** command, Maple has the **Limit** command
which is referred as the inert form of the former; no evaluation is made.
In the **student** package, there is a command **expand** which when
applied with the **Limit** command provides the "limit theorems".
However, there is a small bug with the **expand** command; exponents
do not appear properly. The following are some examples of using these
commands.

> with(student):

> Limit(5*x^3+7*x^2-9*x+14,x=7);

> expand(");

> value(");

> Limit(x^3-5*x^2+8,x=a);

> expand(");

> value(");

> Limit(x/abs(x),x=0,right);

> value(");

> Limit(c*f(x),x=a);

> expand(");

> Limit(f(x)+g(x),x=a);

> expand(");

> Limit(f(x)*g(x),x=a);

> expand(");

> Limit(f(x)/g(x),x=a);

> expand(");

> Limit(sin(x)/x,x=0);

> expand(");

> value(");

Error, (in value) division by zero

> Limit((f(x))^(1/n),x=a);

> expand(");

**REMINDER**: In order to use the commands **expand** and **value**, you must first use the command **with(student):** in
order to load the student package.