JEE Main 202324 Jan, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002The set of all values of aaa for which limx→a([x−5]−[2x+2])=0\mathop {\lim }\limits_{x \to a} ([x - 5] - [2x + 2]) = 0x→alim([x−5]−[2x+2])=0, where [α\alphaα] denotes the greatest integer less than or equal to α\alphaα is equal toAOption A. [−7.5,−6.5][-7.5,-6.5][−7.5,−6.5]BOption B. (−7.5,−6.5](-7.5,-6.5](−7.5,−6.5]COption C. [−7.5,−6.5)[-7.5,-6.5)[−7.5,−6.5)DOption D. (−7.5,−6.5)(-7.5,-6.5)(−7.5,−6.5)CheckSkip · show solution