1.05 Infinite Limits and Limits at infinity

Pre-Work:

1) Copy the following notes on you notebook:

      Notes:

·         Infinite limit occurs when functions have a vertical ASYMPTOTE and the answer of the limit results in an infinite answer or DNE.

·         Limits at infinity  are the ones where x-> infinity and can result in finding the horizontal asymptote, and just like all limits they can be evaluated using a table, graph, or algebraically. All three techniques should always yield the SAME answer!

·         Clarifications: The same rules we know about asymptotes from Algebra II & PC still apply. Vertical Asymptotes occur when a value of a denominator is equal to zero and Horizontal Asymptotes are found by using the Numerator & Denominator Test (BOBO, BOTN, EATS DC).