Question
Question: \(\lim_{x \rightarrow \infty}\left\lbrack \sqrt{x + \sqrt{x + \sqrt{x}}} - \sqrt{x} \right\rbrack\)i...
limx→∞[x+x+x−x]is equal to
A
0
B
21
C
log2
D
e4
Answer
21
Explanation
Solution
limx→∞[x+x+x−x]=limx→∞x+x+x+xx+x+x−x
=limx→∞x+x+x+xx+x=limx→∞1+x−1+x−3/2+11+x−1/2=21.