Barrons AP Calculus

    is  of  type        and therefore   equals  .

Example 40 __

    (Example    13) is  of  type        and thus    equals   ,  as  before. Note

that is not the limit of an indeterminate form!

Example 41 __

    is  of  type        and therefore   equals  .

Example 42 __

(Example    20) is  of  type     ,  so  that    it  equals   ,  which   is

again of type . Apply L’Hôpital’s Rule twice more:

For this problem, it is easier and faster to apply the Rational Function Theorem!

Example 43 __

Find .

SOLUTION: is of type and equals .

Example 44 __

Find .