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

Let f: [-1, 3] arrow R be defined as f(x) = begincases |x|… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 8 April · Shift II

Let

f: [-1, 3] \rightarrow R

be defined as

f(x) = \begin{cases} |x| + [x], & -1 \leq x < 1 \\ x + |x|, & 1 \leq x < 2 \\ x + [x], & 2 \leq x \leq 3 \end{cases}

where,

[t]

denotes the greatest integer less than or equal to

t

. Then,

f

is discontinuous at

Show answer

Correct option: C

[JEE Main 2019 · 8 April · Shift II]

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