Let ƒ: [–1,3] → R be defined as f(x) = \ | x | + [ x ], - 1 ≤ x < 1 x + | x |, 1 ≤ x < 2 x + [ x ], 2 ≤ x ≤ 3. where [t] denotes the greatest integer less than or equal to t. Then, ƒ is discontinuous at:

Limit, Continuity and Differentiability: JEE Main 2019 Mathematics question

JEE Main 2019 · 8 Apr, Evening shift · Q4134

JEE Main 20198 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

Let ƒ : [–1,3]

\to

R be defined as

f(x) = \left\{ {\matrix{ {\left| x \right| + \left[ x \right]} & , & { - 1 \le x < 1} \cr {x + \left| x \right|} & , & {1 \le x < 2} \cr {x + \left[ x \right]} & , & {2 \le x \le 3} \cr } } \right.

where [t] denotes the greatest integer less than or equal to t. Then, ƒ is discontinuous at:

JEE Main 2019 · 8 Apr, Evening shift · Q4134

JEE Main 20198 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

Let ƒ : [–1,3]

\to

R be defined as

f(x) = \left\{ {\matrix{ {\left| x \right| + \left[ x \right]} & , & { - 1 \le x < 1} \cr {x + \left| x \right|} & , & {1 \le x < 2} \cr {x + \left[ x \right]} & , & {2 \le x \le 3} \cr } } \right.

where [t] denotes the greatest integer less than or equal to t. Then, ƒ is discontinuous at: