Question

Lim x -> 3 (x ^ 2 - 9)/(x - 3)

Answer 1

Ответ:

ось.....................

Answer 2

To evaluate the limit of the given expression as x approaches 3, we can simplify the expression and then substitute the value of x. Let's simplify it step by step:

Lim x -> 3 (x^2 - 9)/(x - 3)

We can factor the numerator using the difference of squares:

Lim x -> 3 [(x - 3)(x + 3)] / (x - 3)

Now, we can cancel out the common factor of (x - 3) in the numerator and denominator:

Lim x -> 3 (x + 3)

Finally, substitute the value of x = 3 into the expression:

Lim x -> 3 (3 + 3) = Lim x -> 3 (6) = 6

Therefore, the limit of the given expression as x approaches 3 is 6.