This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Review for Exam 1 The first exam covers sections 4.4, 7.8, and 11.1-11.4. In particular, you should know these topics: • L’Hospital’s Rule – It can be used only on limits that are of the form or ∞ ∞ . – The rule says that lim f ( x ) g ( x ) = lim f ( x ) g ( x ) . – Other indeterminate forms are 0 ·∞ , ∞-∞ , , ∞ , and 1 ∞ . For the first two, you must use algebra to simplify them into or ∞ ∞ . Taking the natural logarithm of the last three will allow you to rewrite them in the form or ∞ ∞ so that you can apply L’Hospital’s Rule. • Improper integrals – An integral can be improper for two reasons: because one of the bounds is ∞ , or because the function is not defined at some point in the bounds. – Replace the offending bound by a new variable, say t , and evaluate the integral as usual. Then take the limit of your answer as t approaches the bound....
View Full Document
This note was uploaded on 03/11/2008 for the course MATH 116 taught by Professor Chale during the Winter '08 term at Cal Poly Pomona.
- Winter '08