This theorem implies that any fraction having x to a positive power in the denominator (power in the denominator > power of x in the numerator) will approach zero!! (1/x) = 0 or (1/x2) = 0, etc.
This gives us a way to calculate some limits.  If the problem is a fraction, try dividing the numerator and denominator by the highest power of x in the denominator!
Example:     To find the limit, divide top and bottom by x2
Notice that both (3/x2) and (2/x2) approach zero because of the previous theorem!!
Other Limits: