Answer: Choice A) There must be a vertical asymptote at x = c
Explanation:
The first limit
says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.
The limit
means that as x approaches c from the right side, the y values head off to positive infinity.
Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.
Answer:
The result of the integration is 
Step-by-step explanation:
Integration of a power of x:
The integration of a power of x is:

In this question:
. So

The result of the integration is 
I would recommend asking a tutor
Corresponding sides have the same ratio, so
x/15 = 12/(12+8) = 3/5
x = 15*3/5
x = 9