[2.6] Limit at Infinity (Solutions)

Determining limits for when x approaches either positive or negative infinity, using horizontal asymptote rules. 0:00 - Recap on how to find horizontal asymptotes, and, importantly, why the rules for horizontal asymptotes exist. Studying things like specifically why certain things come to be help train your brain to understand more complex problems built off of the same foundations, and are key to understanding complex AP-style questions. 6:36 - Limit as x approaches infinity for a rational function where the numerator and denominator have the same degree. 7:20 - Limit as x approaches infinity for a rational function where the denominator has a greater degree than the numerator. 7:20 - Limit as x approaches infinity for a rational function where the denominator has a greater degree than the numerator. 8:17 - Limit as x approaches infinity for a rational function (featuring radicals on both sides of the fraction). 10:21 - Limit as x approaches infinity for a rational function (featuring radicals on only one side of the fraction). 11:40 - Limit as x approaches infinity for a function (featuring radicals and several variables other than x). 13:00 - Limit as x approaches infinity for a trigonometric function (cos, but same rules apply for sin. Different rules for tan, but see final problem). 15:08 - Limit as x approaches infinity for a normal function (featuring radicals). 16:17 - Limits where the value x approaches cannot be plugged into the function (tan, and exponents using Euler's number as a base).   / thestemchaperone