Evaluate the limit: lim(x→3) (x^2 - 9)/(x - 3).

Step 1: Try direct substitution.

Substitute x = 3 into the expression:
(3^2 - 9)/(3 - 3) = 0/0

The result 0/0 is an indeterminate form, so we need to simplify the expression before evaluating the limit.

Step 2: Factor the numerator.

The numerator is a difference of squares:
x^2 - 9 = (x - 3)(x + 3)

So the expression becomes:
((x - 3)(x + 3))/(x - 3)

Step 3: Simplify.

For x ≠ 3, cancel the common factor (x - 3):
(x + 3)

Step 4: Evaluate the simplified limit.

Now substitute x = 3:
3 + 3 = 6

Therefore, the limit is 6.