1 Nov 2021
Problem 49b
Page 134
Section 2.5: Limits involving infinity
Chapter 2: Limits and Derivatives
Textbook ExpertVerified Tutor
1 Nov 2021
Given information
A function f is a ratio of quadratic functions and has a vertical asymptote and just one - intercept .
Also, it is known that function f has a removable discontinuity and .
Step-by-step explanation
Step 1.
The given function is vertical asymptotes. Therefore, must be the factor of denominator. - intercept , so is a factor of numerator.
There is a removable discontinuity so is a factor of both numerator and denominator.
Therefore, write the function that satisfies these conditions.