Functions Question 304
Question: The value of $ \underset{n\to \infty }{\mathop{\lim }},\frac{x^{n}}{x^{n}+1} $ where $ x<-1 $ is
[J & K 2005]
Options:
A) ½
B) ?1/2
C) 1
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ \underset{n\to \infty }{\mathop{\lim }},\frac{x^{n}}{x^{n}( 1+\frac{1}{x^{n}} )}=\underset{n\to \infty }{\mathop{\lim }},\frac{1}{( 1+\frac{1}{x^{n}} )}=1 $ .
BETA
