Q130 / 225 · JEE Main 2002 · Mathematics

$\operatorname{Lim}_{x \rightarrow 0} \frac{\log x^n-[x]}{[x]}, \mathrm{n} \in \mathrm{N}([\mathrm{x}]$ denotes greatest integer less than or equal to $\mathrm{x})$

A
has value -1
B
has value 0
C
has value 1
Correct answer
D
does not exist

Solution

Since $\operatorname{Lim}_{x \rightarrow 0}[x]$ does not exist, hence the required limit does not exist

Hence, the correct answer is option: 'D'.

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