Introduction to L'Hôpital's Rule | Lecture Note - Edubirdie

University:
Massachusetts Institute of Technology
Course:
18.01SC | Single Variable Calculus
Academic year:

2020
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336

Pages:

1
Author:

pogibohmx

Introduction to L’Hôpital’s Rule In this ﬁnal unit we tie up some loose ends related to calculus and limits. Our ﬁrst topic is L’Hôpital’s rule, which is useful for understanding multiplication and division by inﬁnity. L’Hôpital’s rule is also known as L’Hospital’s rule; the circumﬂex accent indicates that the letter S has been omitted, so the two spellings are equivalent. The two spellings are pronounced identically, with a long O and silent S. L’Hôpital’s rule is used to calculate limits of expressions like: x ln x as x → 0+ , xe−x ln x x as x → ∞, as x → ∞. We could use a calculator to guess what these limits are, but L’Hôpital’s rule gives us a systematic and provable way of ﬁnding the limits.

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