Lesson 7: Limits at Infinity

This document contains multiple definitions and examples related to limits at infinity: 1) It defines limits at infinity and horizontal asymptotes, stating that a limit equals a value L if the function values can be made arbitrarily close to L by taking x sufficiently large or small. 2) Examples show computing limits by factoring out highest degree terms and applying limits laws, such as a limit equaling 1/2. 3) Additional examples provide strategies for determining limits at infinity, such as comparing exponential to geometric growth rates or rationalizing nondeterminate forms.