Word Count : 367

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To find the limit numerically for the expression \[ \lim_{x\rightarrow 1} \frac{x^{3}-3x+2}{x^{2}-5x+4} \] we can begin by substituting \(x = 1\) directly into the expression: ### Step 1: Evaluate the numerator at \(x = 1\) The numerator is \(x^3 - 3x + 2\). Substituting \(x = 1\): \[ 1^3 - 3(1) + 2 = 1 - 3 + 2 = 0 \] ### Step 2: Evaluate the denominator at \(x = 1\) The __________ __________ _______ _________ _______ ________.
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