Can someone Answer this?
1 answer:
Answer:
The limit of the function as x approaches 1 is ∞
Vertical asymptote; x = 1
Step-by-step explanation:
The graphical approach to evaluating limits involves graphing the function, the graph of the function is contained in the attachment below.
The red vertical line is the graph of x = 1. As we approach the line x = 1 from the left, the value of the function, that is y becomes large and large indefinitely. That is the value of the function approaches infinity. The same case applies when we approach the vertical line x = 1 from the right.
Also noticeable is the fact that the function approaches the line x = 1 asymptotically. The function gets closer and closer to this line but actually never touches it. Therefore, the line x = 1 is our vertical asymptote of the function given
You might be interested in
Answer:
-5, 5
Step-by-step explanation:
The line in this problem can be written in the form
(1)
where:
is the slope
q is the y-intercept
We know that the line passes through the point (-2,5), so substituting these values into eq.(1), we find the value of the y-intercept:
So the equation of the line is
(2)
Now we know that point A has coordinates
A(x,3)
So by substituting into eq.(2), we find the missing x-coordinate:
Similarly, point B has coordinates
B(-2,y)
so substituting into eq(2), we find the missing y-coordinate: