solve the limit : lim x tending to infinity ([2x]/x) Share with your friends Share 3 Vipin Verma answered this limx→∞ [2x]x As [x] = x - {x} So [2x] = 2x - {2x} If we take 2 common , then the above definition will remain same.Hence [2x] =2x -2{x}limx→∞ [2x]x =limx→∞ 2x- 2{x}x =2 -limx→∞2{x}x As {x} is always between 0 and 1 Hence2{x} is always a constant number , and the denominator is infinity .Hence limx→∞2{x}x = 0So limx→∞ [2x]x = 0 0 View Full Answer
