Question

Evaluate the limit, if it exists. (if an answer does not exist, enter dne.) lim x→4 2 − x4x − x2

Answer 1

The limit does not exist (DNE) because we cannot divide by zero.

Step-by-step explanation:

To evaluate the limit, we can use direct substitution. Since the limit is as x approaches 4, we substitute 4 for x in the expression:

lim x→4 (2 − x)/(4x − x²)

= (2 − 4)/(4(4) − 4²)

= -2/0

However, we cannot divide by zero. Therefore, the limit does not exist (DNE).