The limit of the function (x^2 - 4) / (x - 2) as x approaches 2 can be found by factoring the numerator and simplifying the expression.

Step 1: Factor the numerator. The expression x^2 - 4 is a difference of squares, which can be factored into (x - 2)(x + 2).

So, the function becomes (x - 2)(x + 2) / (x - 2).

Step 2: Simplify the expression. The (x - 2) terms cancel out, leaving us with x + 2.

Step 3: Substitute x = 2 into the simplified expression. This gives us 2 + 2 = 4.

So, the limit of the function (x^2 - 4) / (x - 2) as x approaches 2 is 4.

Question

The limit of the function (x^2 - 4) / (x - 2) as x approaches 2 can be found by factoring the numerator and simplifying the expression.

Step 1: Factor the numerator. The expression x^2 - 4 is a difference of squares, which can be factored into (x - 2)(x + 2).

So, the function becomes (x - 2)(x + 2) / (x - 2).

Step 2: Simplify the expression. The (x - 2) terms cancel out, leaving us with x + 2.

Step 3: Substitute x = 2 into the simplified expression. This gives us 2 + 2 = 4.

So, the limit of the function (x^2 - 4) / (x - 2) as x approaches 2 is 4.

Knowee AI · Accepted Answer

The limit of the function (x^2 - 4) / (x - 2) as x approaches 2 can be found by factoring the numerator and simplifying the expression.

Step 1: Factor the numerator. The expression x^2 - 4 is a difference of squares, which can be factored into (x - 2)(x + 2).

So, the function becomes (x - 2)(x + 2) / (x - 2).

Step 2: Simplify the expression. The (x - 2) terms cancel out, leaving us with x + 2.

Step 3: Substitute x = 2 into the simplified expression. This gives us 2 + 2 = 4.

So, the limit of the function (x^2 - 4) / (x - 2) as x approaches 2 is 4.

What is the limit of x^2-4/x-2 as x approaches 2?