L’Hôpital’s Theorem

L’Hôpital’s Theorem can be used when evaluating limits that have a certain sort of “indeterminate form” (either \(\frac{0}{0}\) or \(\frac{\pm\infty}{\pm\infty}\)). Subject to some other conditions (What are they? Make sure you check that they’re satisfied!), we can use L’Hôpital’s Theorem to calculate limits like

\[\lim_{x\to 0}\frac{\sin x}{x}\]

Use L’Hôpital’s Theorem to find the value of this limit for tomorrow’s lesson. Also, what do you think about the result shown below?

\[\lim_{x\to 0}\frac{\cos x}{x}=\lim_{x\to 0}\frac{-\sin x}{1}=0\]

2 Replies to “L’Hôpital’s Theorem”

  1. Hi Sir, I tried printing the Calculus option chapter but it asks me for a password to unlock the printing of the document. Do you know what this password is?

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