Evaluate: \(^{lim}_{x \to 1} \begin{pmatrix} \frac{1 - x}{x^2 - 3x + 2} \end {pmatrix}\)
FURTHER MATHEMATICS
WAEC 2019
Evaluate: \(^{lim}_{x \to 1} \begin{pmatrix} \frac{1 - x}{x^2 - 3x + 2} \end {pmatrix}\)
- A. -1
- B. - \(\frac{1}{2}\)
- C. \(\frac{1}{2}\)
- D. 1
Correct Answer: D. 1
Explanation
Lim(\(\frac{1 - x}{x^2 - 3x + 2}\))
= \(^{lim}_{x \to 1} \begin{pmatrix} \frac{1 - x}{x^2 - 3x + 2} \end {pmatrix}\)
= \(^{lim}_{x \to 1} \begin{pmatrix} \frac{x - 1}{(x - 2)(x + 1)} \end {pmatrix}\)
= \(\frac{-1}{1 - 2}\)
= \(\frac{-1}{-1}\)
= 1
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