Theorem B. Suppose that f and g are functions such that the two limits
exist, suppose that k is a constant and suppose that n is a positive integer. Then

Example [Using Images]
[Using Flash]

Example [Using Images]
[Using Flash]

Example [Using Images]
[Using Flash]
Discussion [Using Flash]

Example [Using Images]
[Using Flash]
Discussion [Using Flash]

Example [Using Images]
[Using Flash]
Discussion [Using Flash]

Example [Using Images]
[Using Flash]

Example [Using Images]
[Using Flash]

Example [Using Images]
[Using Flash]

Example [Using Images]
[Using Flash]

Example [Using Images]
[Using Flash]
 provided when n is even.
Example [Using Images]
[Using Flash]
 If for all then .
 If f is a polynomial then .
Example [Using Images]
[Using Flash]
Discussion [Using Flash]
 If f is a rational function then, for all a in the domain of f, .
Example [Using Images]
[Using Flash]
Discussion [Using Flash]
