### Calculus: L'Hopital's Rule, Indeterminate Products

http://www.mindbites.com/series/164 for a bundle of videos on Other Indeterminate Forms. For an even broader bundle of videos that cover Other Indeterminate Forms and L'Hopital's Rule, check out http://www.mindbites.com/series/165 . To search for topic-specific help in our library of 600+ video products for Calculus, please refer to our Calculus category at: http://www.mindbites.com/category/23-calculus . To check out our full Calculus video course, with 250+ videos included, refer to: http://www.mindbites.com/series/227-calculus . Or, for access to this single video, go to: http://www.mindbites.com/lesson/849 . Some indeterminate forms, including indeterminate products, must be manipulated before L'H?pital's Rule can be applied. In order to do this, try expressing one of the factors as a fraction (so you can recognize things like (0 * infinity) or (theta * cotangent of theta) as an indeterminate form given that they are actually indeterminate products rather than the easily recognizable 0/0 or infinity/infinity). Once recognized as an indeterminate form, you will learn how to manipulate these camouflaged indeterminate forms in such a way that they can have L'H?pital's rule applied to them. In this lesson, you will learn how to recognize these limits with indeterminate forms as well as how to handle limits with negative exponents and limits with trigonometric expressions. Taught by Professor Edward Burger, this lesson was selected from a broader, comprehensive course, College Algebra. Edward Burger, Professor of Mathematics at Williams College, earned his Ph.D. at the University of Texas at Austin, having graduated summa cum laude with distinction in mathematics from Connecticut College. He has also taught at UT-Austin and the University of Colorado at Boulder, and he served as a fellow at the University of Waterloo in Canada and at Macquarie University in Australia. Prof. Burger has won many awards, including the 2001 Haimo Award for Distinguished Teaching of Mathematics, the 2004 Chauvenet Prize, and the 2006 Lester R. Ford Award, all from the Mathematical Association of America. In 2006, Reader's Digest named him in the "100 Best of America". Prof. Burger is the author of over 50 articles, videos, and books, including the trade book, Coincidences, Chaos, and All That Math Jazz: Making Light of Weighty Ideas and of the textbook The Heart of Mathematics: An Invitation to Effective Thinking. He also speaks frequently to professional and public audiences, referees professional journals, and publishes articles in leading math journals, including The Journal of Number Theory and American Mathematical Monthly. His areas of specialty include number theory, Diophantine approximation, p-adic analysis, the geometry of numbers, and the theory of continued fractions. Prof. Burger's unique sense of humor and his teaching expertise combine to make him the ideal presenter of Thinkwell's entertaining and informative video lectures.

Length:
02:27