Hopital's Theorem. Is it really worth using?

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Salvo Romeo

Published on Jul 11, 2023
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Hopital's theorem with exercises solved step by step. Is it always a good idea to use it in every context? 00:00 Introduction 01:00 Statement of Hopital's theorem. Case [0/0] 04:10 Example of a limit solved with Hopital [0/0] 09:40 Example of a limit solved with Hopital [0/0] 14:50 Statement of Hopital's theorem case [infinity/infinity] 16:43 Example of a limit solved with Hopital [infinity/infinity] 21:36 Do not use Hopital for the following limits With this lesson we present one of the most important theorems of differential calculus, which in many circumstances allows us to solve many limits that appear in the indeterminate form 0/0 (zero/zero) or infinity/infinity. Before applying the theorem, you must always check that the hypotheses are satisfied, otherwise you risk committing very serious infringements. In the first part I present the two Hopital theorems by doing some exercises in ordinary cases. In the second part of the video I present some cases in which the Hopital theorem is not applicable or convenient, thus preferring the standard methods that strictly speaking must always be taken as the first choice. Hopital is a very powerful theorem, but in some cases its use is either excessive or does not solve the problem at all. #salvoromeo #hopitaltheorem #hopital

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