Evaluate (lim limits_{x to 1} frac{1 – x}{x^{2} – 3x + 2})
-
A.
1 -
B.
(frac{1}{2}) -
C.
0 -
D.
-1
Correct Answer: Option A
Explanation
(lim limits_{x to 1} frac{1 – x}{x^{2} – 3x + 2})
(frac{1 – x}{x^{2} – 3x + 2} = frac{-(x – 1)}{(x – 1)(x – 2)})
= (frac{-1}{x – 2})
(lim limits_{x to 1} frac{1 – x}{x^{2} – 3x + 2} = lim limits_{x to 1} frac{-1}{x – 2})
= (frac{-1}{1 – 2} = frac{-1}{-1} = 1)