Later generations mistakenly thought it was his invention, so the name "L'H?pital's Law" is still in use today. L'H?pital also wrote articles about geometry, algebra and mechanics. He also planned to write a textbook on integral calculus, but due to his premature death, this textbook on integral calculus could not be completed. The rest of the manuscript was published in Paris on 1720, and it was named conic curve analysis.
Main contributions:
L'H?pital's works are still very popular in the study of conic curves in the18th century. His most important work is Infinite Analysis of Explanatory Curves (1696), which is the first systematic calculus textbook in the world. Starting from a set of definitions and axioms, he comprehensively expounded the concepts of variable, infinitesimal, tangent and differential, which played a great role in spreading the newly established calculus theory.
In chapter nine of the book, John? Bernoulli told him a famous theorem on July 22nd, 1694: "L'H?pital's Law", which is the law of finding the limit of a fraction when both the numerator and denominator tend to zero.