L’Hôpital’s Rule

  1. $\rhd$ L’Hôpital’s Rule (8:52)  Indeterminate forms and an introduction to L’Hôpital’s Rule.
  2. $\rhd$ Limit at 0 (7:42) Find $\displaystyle\lim_{x\to 0} \dfrac{2\sin(x) – \sin (2x)}{x-\sin(x)}$.
  3. * Practice: L’Hôpital’s Rule: $0/0$
  4. $\rhd$ Limit at infinity (5:15) Find $\displaystyle\lim_{x\to \infty} \dfrac{4x^2-5x}{1-3x^2}$.
  5. * Practice: L’Hôpital’s Rule: $\infty/\infty$