Functions Question 208
Question: The value of the limit of $ \frac{x^{3}-x^{2}-18}{x-3} $ as x tends to 3 is
[SCRA 1996]
Options:
A) 3
B) 9
C) 18
D) 21
Show Answer
Answer:
Correct Answer: D
Solution:
Let $ y=\underset{x\to 3}{\mathop{\lim }},\frac{x^{3}-x^{2}-18}{x-3} $ , $ ( \frac{0}{0},form ) $ Applying L-Hospital’s rule, we get $ y=\underset{x\to 3}{\mathop{\lim }},3x^{2}-2x=(27-6)=21 $ .
BETA
