Problem 95E

The first appearance in print of 1Hospitals Rule was in the book Analyse des Infiniment Petits published by the Marquis de lHospital 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 y=2a3xx4aaax3aax34 as x approaches a, where a 0. At that time it was common to write aa instead of a2. Solve this problem.

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