I believe you're asking about the one-sided limit,

Recall the definition of absolute value:
•
if 
•
if 
Since we're approaching -4 from the left, we're effectively focusing on a domain of
or
. So, by the definition above, we have
. Then in the limit, we have

Because anything multiplied by one is that number. If you have 3/4 one time, then it is 3/4.
It is given in the question that,

Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is

Substituting the values of a and r, we will get

So the correct option is the third option .
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
I am unable to read all of the options in the picture you provided but I hope this helps! (: