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Home / Aptitude Tests / Further Mathematics / Evaluate \(\lim \lim...
Evaluate \(\lim \limits_{x \to 1} \frac{1 - x}{x^{2} - 3x + ...

Evaluate lim

A.

1

B.

\frac{1}{2}

C.

0

D.

-1

Correct answer is A

\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