Functions Question 92
Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{{{(1+x)}^{n}}-1}{x}= $
[Kurukshetra CEE 2002]
Options:
A) n
B) 1
C) ?1
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \underset{x\to 0}{\mathop{\lim }}\frac{(1+nx+{{,}^{n}}C_2x^{2}+…\text{higher powers of }x\text{ to }x^{n})-1}{x}=n $ . Aliter : Apply L-Hospital?s rule.
BETA
