The first appearance in print of l Hospitals Rule was in the book Analyse des Infiniment Petites

Question:

The first appearance in print of l€™ Hospital€™s Rule was in the book Analyse des Infiniment Petites published by the Marquis de l€™ Hospital in 1696. This was the first calculus textbook ever published and the example that the Marquis used in that book to illustrate his rule was to find the limit of the function

as approaches a, where a > 0. (At that time it was common to write aa instead of a2.) Solve this problem.