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He is also the author of the first known calculus textbook. Published in 1696, the text includes the lectures of his teacher, Johann Bernoulli, in which Bernoulli discusses the indeterminate form 0/0.
His name is also spelled l'Hospital. The circumflex in "l'Hôpital" is a neologism; it was not in use at the time l'Hôpital was alive.