https://file.aiquickdraw.com/mathbot/file/1726677179548nuzluoy8.jpg

The image you've uploaded contains a mathematical expression. Let me analyze it.

The equation appears to be:
\[
\lim_{x \to 2} \frac{x^2 - 4}{x^2 - x - 2}
\]

To solve this, let's first simplify the expression step by step.

### Step 1: Factorization
We need to factor both the numerator and the denominator.

- The numerator \(x^2 - 4\) is a difference of squares, which can be factored as:
  \[
  x^2 - 4 = (x - 2)(x + 2)
  \]
  
- The denominator \(x^2 - x - 2\) factors as:
  \[
  x^2 - x - 2 = (x - 2)(x + 1)
  \]

### Step 2: Simplification
Now the expression becomes:
\[
\frac{(x - 2)(x + 2)}{(x - 2)(x + 1)}
\]
We can cancel the common factor \(x - 2\), as long as \(

Find the limit of \( \lim_{x \to 2} \frac{x^2 - 4}{x^2 - x - 2} \)

Learn how to find the limit of (x^2 - 4) / (x^2 - x - 2) as x approaches 2. This detailed step-by-step guide explains the process of factoring the expression and simplifying the limit. Suitable for students in Grades 10-12 studying calculus concepts.

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