JEE Main 20203 Sep, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let [t] denote the greatest integer ≤\le≤ t. If for some λ\lambdaλ ∈\in∈ R - {1, 0}, limx→0∣1−x+∣x∣λ−x+[x]∣\mathop {\lim }\limits_{x \to 0} \left| {{{1 - x + \left| x \right|} \over {\lambda - x + \left[ x \right]}}} \right|x→0limλ−x+[x]1−x+∣x∣ = L, then L is equal to :AOption A. 1BOption B. 2COption C. 0DOption D. 12{1 \over 2}21CheckSkip · show solution