In this lesson, we will learn how to use limits to understand asymptotic behavior of functions.
Students will be able to
Q1:
The function π(π₯)=3π₯β33π₯+80(π₯β3)(π₯β5)(π₯β7)ο¨ is found to have a vertical asymptote at π₯=3. To which of {ββ,+β} do the values of π(π₯) go as π₯ approaches 3 from the left and the right?
Q2:
For each of the following functions π, determine the horizontal asymptote(s) for π.
π(π₯)=5β2π₯ο¨
π(π₯)=π₯π₯sin
Q3:
Find the horizontal and vertical asymptotes of the function π(π₯)=3π₯β3βπ₯.
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