We observe that the limits f(x) and both exist. In particular, and
. HenceProperty#5 now appliesand we have
.
LessonSummary
- We learnedto find infinitelimitsof functions.
- We analyzedpropertiesof infinitelimits.
- We identifiedasymptotesof functions.
- We analyzedend behaviorof functions.
ReviewQuestions
In problems1–7, find the limitsif they exist.
In problems8–10,analyzethe givenfunctionand identifyall asymptotesand the end behaviorof the graph.