Functions Question 87

Question: $ \underset{x\to 1}{\mathop{\lim }},\frac{x^{3}-1}{x^{2}+5x-6}= $

Options:

A) 0

B) $ \frac{3}{7} $

C) $ \frac{1}{2} $

D) $ -\frac{1}{6} $

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Answer:

Correct Answer: B

Solution:

$ \underset{x\to 1}{\mathop{\lim }}\frac{(x-1)(x^{2}+x+1)}{(x-1)(x+6)}=\frac{3}{7} $ .