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Question: Answered & Verified by Expert
$\operatorname{Lim}_{x \rightarrow 0} \frac{\log x^n-[x]}{[x]}, \mathrm{n} \in \mathrm{N}([\mathrm{x}]$ denotes greatest integer less than or equal to $\mathrm{x})$
MathematicsLimitsJEE MainJEE Main 2002
Options:
  • A
    has value -1
  • B
    has value 0
  • C
    has value 1
  • D
    does not exist
Solution:
1983 Upvotes Verified Answer
The correct answer is:
does not exist
Since $\operatorname{Lim}_{x \rightarrow 0}[x]$ does not exist, hence the required limit does not exist

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