Question

Find the limit of (8/(x^2-4)) - (x/x-2) as x approaches

2.
A. 0
B. 1
C. 2
D. The limit does not exist.

Answer 1

The limit of the given expression does not exist as x approaches 2.

Step-by-step explanation:

To find the limit of the given expression, we substitute x = 2 into the expression and simplify:

(8/(x^2-4)) - (x/x-2)

= (8/(2^2-4)) - (2/2-2)

= (8/(4-4)) - (2/2-2)

= (8/0) - (2/0)

Since dividing by zero is undefined, the limit does not exist.