How do you evaluate the limit of (2x^2 - 3x + 1)/(x - 2) as x approaches 2?
Answer 1
Carrie Richards
To evaluate the limit of (2x^2 – 3x + 1)/(x – 2) as x approaches 2, factor the numerator. The numerator 2x^2 – 3x + 1 factors to (2x – 1)(x – 1). The expression becomes ((2x – 1)(x – 1))/(x – 2). As x approaches 2, the limit is determined by substituting x = 2 into the simplified expression, yielding a limit of 3.
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