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JEE Main 2002
Exam
JEE Main
Year
2002
Subject
Mathematics
Chapter
Limits

JEE Main 2002 · Mathematics · Limits

Lim_ x arrow 0 ( x^n-[x])/([x]), n ∈ N([x] denotes greatest integer...

Lim⁡x→0log⁡xn−[x][x],n∈N([x]\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 x)\mathrm{x})

Options

  1. Ahas value -1
  2. Bhas value 0
  3. Chas value 1
  4. Ddoes not exist

Correct answer

D. does not exist

Step-by-step solution

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