The reason why John Bernoulli sold the Law of Lópida is as follows:
The reason why John Bernoulli sold the Principle of Lópida is because Lópida bought Bernoulli with money. of rules.
Johann Bernoulli received a large sum of money from Lópida and could only watch as these achievements were attributed to Lópida. Lópida carefully studied these research results, studied them and organized them. Later, Lópida published a book "Elucidating the Infinite Less Analysis of Curves". This book was the world's first systematic calculus textbook and the most important and famous work in Lópida's life.
There is a chapter in this book that details the content and conditions of use of Lópida's Law. This book caused a sensation in the mathematics community as soon as it was published. With this book, to be precise, it should be L'Obidard's Law, he became an instant success, gained enough support from people, and was even elected to the French Academy of Sciences.
Knowledge expansion
L'H?pital's rule is a method of determining the value of an undetermined expression by deriving the derivatives of the numerator and denominator respectively and then finding the limit under certain conditions. A limit to the effect of the ratio of two infinitesimals or the ratio of two infinitesimals may or may not exist.
Therefore, when finding such limits, appropriate deformation is often required and converted into a form that can be calculated using the limit algorithm or important limits. Lópida's law is a general method applied to such extreme calculations. This rule was discovered by Swiss mathematician Johann Bernoulli, so it is also called Bernoulli's rule.
L'Hopital's rule is a method of determining the value of an undetermined formula by deriving the derivatives of the numerator and denominator respectively and then finding the limit under certain conditions.
Lópida's Law (Theorem)
Suppose the functions f(x) and F(x) satisfy the following conditions: when x→a, limf(x)=0, limF( x)=0; in a certain decentered neighborhood of point a, both f(x) and F(x) are differentiable, and the derivative of F(x) is not equal to 0; when x→a, lim(f'(x) /F'(x)) exists or is infinite. Then when x→a, lim(f(x)/F(x))=lim(f'(x)/F'(x)).