What is the limit? limit x to negative 2 of the fraction with numerator x squared minus 4 and denominator x plus 2

Factor the numerator: x² − 4 = (x − 2)(x + 2). For x ≠ −2, cancel the common factor x + 2, so the fraction simplifies to x − 2. As x approaches −2, x − 2 approaches −2 − 2 = −4, so the limit is negative 4.

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