Question

The example that the Marquis used in his book to illustrate L'hospital rule was to find the limit of the function

y= { sqrt (2 a^3 x - x^4) - (a)sqrt[3]{(a^2)(x)} }/ (a) -sqrt[4]{(a)(x^3)}

as x approaches a, where a > 0. (At that time it was common to write aa instead of a^2.) Solve this problem, your answer may depend upon a.