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JEE Main PAPER - 1

JEE Main · 2018

180 questions · One at a time

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50
MCQ4 marks

For each tRt \in \mathbb{R}  , let [t] be the greatest integer less than or equal to tt  . Then limx0+x([1x]+[2x]++[15x])\lim_{x \to 0^+} x \left(\left[ \frac{1}{x} \right] + \left[ \frac{2}{x} \right] + \dots + \left[ \frac{15}{x} \right]\right)  :

  • A.is equal to 120.Correct
  • B.does not exist (in R\mathbf{R}   ).
  • C.is equal to 0.
  • D.is equal to 15.
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