In LHpitals 1696 calculus textbook, he illustrated his rule using the limit of the

Chapter 8, Problem 120

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120. Calculus History In L’Hôpital’s 1696 calculus textbook, he illustrated his rule using the limit of the function

\(f(x)=\frac{\sqrt{2 a^{3} x-x^{4}}-a \sqrt[3]{a^{2} x}}{a-\sqrt[4]{a x^{3}}}\)

as x approaches a, a > 0  Find this limit.

Text Transcription:

f(x) = sqrt 2 a^3 x-x^4-a sqrt 3 a^2 x / {a-sqrt 4 a x^3

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