A) Has value ?1
B) Has value 0
C) Has value 1
D) Does not exist
Correct Answer: A
Solution :
\[\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}-[x]}{[x]}=\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log {{x}^{n}}}{[x]}-\underset{x\to \infty }{\mathop{\lim }}\,\frac{[x]}{[x]}\]\[=0-1=-1.\]
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