JEE Main 201912 Apr, Morning shiftMathematicsMediumSequence and Series179× since 2002For x ε\varepsilonε R, let [x] denote the greatest integer ≤\le≤ x, then the sum of the series [−13]+[−13−1100]+[−13−2100]+....+[−13−99100]\left[ { - {1 \over 3}} \right] + \left[ { - {1 \over 3} - {1 \over {100}}} \right] + \left[ { - {1 \over 3} - {2 \over {100}}} \right] + .... + \left[ { - {1 \over 3} - {{99} \over {100}}} \right][−31]+[−31−1001]+[−31−1002]+....+[−31−10099] is :AOption A. - 153BOption B. - 135COption C. - 133DOption D. - 131CheckSkip · show solution
