College Math Placement Practice Test 2025 - Free College Math Questions and Study Guide

Question: 1 / 400

What is the value of the limit lim (x → 2) (x^2 - 4)?

0

To determine the value of the limit as x approaches 2 for the expression \(x^2 - 4\), we can directly substitute the value of x into the expression because it is continuous at that point.

First, calculate \(x^2\) when \(x = 2\):

\[

2^2 = 4.

\]

Now, substitute this back into the expression:

\[

x^2 - 4 = 4 - 4 = 0.

\]

Thus, as x approaches 2, the expression approaches 0 as well.

In this case, the limit can be evaluated directly without any issues, confirming that the correct response is indeed 0. This represents the value of the limit as x approaches 2 for the given function.

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