Functions Question 207
Question: The value of the limit of $ \frac{x^{3}-8}{x^{2}-4} $ as x tends to 2 is
[SCRA 1996]
Options:
A) 3
B) $ \frac{3}{2} $
C) 1
D) 0
Show Answer
Answer:
Correct Answer: A
Solution:
$ \underset{x\to 2}{\mathop{\lim }},\frac{x^{3}-8}{x^{2}-4} $ , $ ( \frac{0}{0},form ) $ Applying L-Hospital’s rule, we get $ \underset{x\to 2}{\mathop{\lim }},\frac{3x^{2}}{2x}=\underset{x\to 2}{\mathop{\lim }},\frac{3\times 2\times 2}{2\times 2}=3 $ .
BETA
