JEE Main 2002Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002limx→0logxn−[x][x]\mathop {\lim }\limits_{x \to 0} {{\log {x^n} - \left[ x \right]} \over {\left[ x \right]}}x→0lim[x]logxn−[x], n∈Nn \in Nn∈N, ( [x] denotes the greatest integer less than or equal to x )AOption A. has value −1-1−1BOption B. has value 000COption C. has value 111DOption D. does not existCheckSkip · show solution