jee-main 2023 Q71

jee-main · India · session1_24jan_shift2 Curve Sketching Limit Computation from Algebraic Expressions
The set of values of $a$ for which $\lim _ { x \rightarrow a } ( [ x - 5 ] - [ 2 x + 2 ] ) = 0$, where $[ \zeta ]$ denotes the greatest integer less than or equal to $\zeta$ is equal to
(1) $( - 7.5 , - 6.5 )$
(2) $( - 7.5 , - 6.5 ]$
(3) $[ - 7.5 , - 6.5 ]$
(4) $[ - 7.5 , - 6.5 )$
The set of values of $a$ for which $\lim _ { x \rightarrow a } ( [ x - 5 ] - [ 2 x + 2 ] ) = 0$, where $[ \zeta ]$ denotes the greatest integer less than or equal to $\zeta$ is equal to\\
(1) $( - 7.5 , - 6.5 )$\\
(2) $( - 7.5 , - 6.5 ]$\\
(3) $[ - 7.5 , - 6.5 ]$\\
(4) $[ - 7.5 , - 6.5 )$