Evaluate the limit given below.
E)The limit does not exist.

Question

Evaluate the limit given below. 
E)The limit does not exist.

Quizplus · Accepted Answer

The limit can be evaluated by substituting the given values:

lim x->3 [(x^3)-27]/[(x^2)-9]

= lim x->3 [(x-3)(x^2+3x+9)]/[(x-3)(x+3)]

= lim x->3 (x^2+3x+9)/(x+3)

= (3^2+3*3+9)/(3+3)

= 15/6

= 5/2

Therefore, the correct choice is C. Without the function given, it is impossible to determine the limit. The choices given are hexadecimal representations of different values, so we cannot say which one represents the limit. Therefore, the answer to this question cannot be determined.

Evaluate the Limit Given Below