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ExamsJEE MainGeneral

For each t ∈ R , let [t] be the greatest integer less than or equal to t. Then ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + + ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + → x x x x x 15 ...... 2 1 lim 0

  1. is equal to 0.
  2. is equal to 15.
  3. is equal to 120.
  4. does not exist (in R )

Correct answer: is equal to 120.

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