Learning Outcomes

1. Recognize when to apply L’Hôpital’s rule.
2. Identify indeterminate forms produced by quotients, products, and powers, and apply L’Hôpital’s rule in each case.

Textbook

• Chapter 4.8   L’Hôpital’s Rule

Textbook Assignment

• p. 470:    356, 362, 367, 370, 371, 377, 387, (393, 395 optional)

WeBWork Assignment

• Application-LHopitals Rule

Exit problems of the session

1. Evaluate the limits for the following function:

(a). (b). (c). (d). Key Concepts

• L’Hôpital’s rule’s can be used to evaluate the limit of a quotient when the indeterminate form or arises.  In these two cases: • Indeterminate product :  rewrite the function to form indeterminate quotient or ,  then apply L’Hôpital’s rule.
• Indeterminate power :   apply to the function and rewrite the function to form indeterminate quotient or ,  then apply L’Hôpital’s rule. Raise the result to the power of to get the limit of the indeterminate power.

#### Videos and Practice Problems of Selected Topics

1. L’Hôpital’s Rule (8:52)  Indeterminate forms and an introduction to L’Hôpital’s Rule.
2. Limit at 0 (7:42) Find .
3. * Practice: L’Hôpital’s Rule: 4. Limit at infinity (5:15) Find .
5. * Practice: L’Hôpital’s Rule: 6. Composite exponential functions (13:10)  Find the limit of indeterminate power 