Introduction to l'Hôpital's rule | Derivative applications | Differential Calculus | Khan Academy

Introduction to L'Hôpital's Rule

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Differential calculus on Khan Academy: Limit introduction, squeeze theorem, and epsilon-delta definition of limits.

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I am learning how to follow this method when I am taking calculus for the first time in the fall semester, in 2020! : )

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[paulwang]

There is actually a problem here. You cannot use L'Hopital's Rule to do the limit of sinx/x because the derivative d/dx(sinx)=cosx is in fact established on the result that lim x-0 (sinx/x)=1.

[swathynatarajan]

This is an excellent explanation, does anyone know how it's derived? (mathematically, logically it just makes sense)