Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.)lim x → 6 x2 − 10x + 24x − 6

The expression seems to be a bit unclear. However, if you're asking for the limit as x approaches 6 for the function (x^2 - 10x + 24)/(x - 6), here are the steps to solve it:

Step 1: Simplify the expression. The numerator can be factored as follows:

x^2 - 10x + 24 = (x - 6)(x - 4)

So the expression becomes:

(x - 6)(x - 4) / (x - 6)

Step 2: Cancel out the common factors in the numerator and the denominator. In this case, (x - 6) is a common factor and can be cancelled out. This leaves us with:

x - 4

Step 3: Substitute x = 6 into the simplified expression:

6 - 4 = 2

So, the limit of the function as x approaches 6 is 2.