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Learning Outcomes
 Recognize when to apply L’HĂ´pital’s rule.
 Identify indeterminate forms produced by quotients, products, and powers, and apply Lâ€™HĂ´pitalâ€™s rule in each case.Â
Textbook
 Chapter 4.8 Â Lâ€™HĂ´pitalâ€™s Rule
Textbook Assignment
 p. 470: Â Â 356, 362, 367, 370, 371, 377, 387, (393, 395 optional)
WeBWork Assignment
 ApplicationLHopitals Rule
Exit problemsÂ of the sessionÂ

Evaluate the limits for the following function:
(a). Â Â Â Â Â (b). Â Â Â Â Â (c). Â Â Â Â Â (d). Â
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Key Concepts
 Lâ€™HĂ´pitalâ€™s rule’s can be used to evaluate the limit of a quotient when the indeterminate form Â Â or Â Â arises. Â In these two cases:Â
 Indeterminate product : Â rewrite the function to form indeterminate quotient Â Â or Â , Â then apply Lâ€™HĂ´pitalâ€™s rule.
 Indeterminate power : Â apply to the function and rewrite the function to formÂ indeterminate quotient Â Â or Â , Â then apply Lâ€™HĂ´pitalâ€™s rule. Raise the result to the power of to get the limit of the indeterminate power.Â
Videos and Practice Problems of Selected Topics
 L’HĂ´pitalâ€™s Rule (8:52) Â Indeterminate forms and an introduction toÂ Lâ€™HĂ´pitalâ€™s Rule.
 Limit at 0 (7:42) Find .
 * Practice: Lâ€™HĂ´pitalâ€™s Rule:
 Limit at infinity (5:15) Find .
 * Practice: Lâ€™HĂ´pitalâ€™s Rule:
 Composite exponential functions (13:10) Â Find the limit of indeterminate power