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Limits Continuity and Differentiability question

2023 · 10 Apr · Shift 1 · Q39

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JEE Main
Mathematics
Limits Continuity and Differentiability
2023 · 10 Apr · Shift 1 · Q39

Limits Continuity and Differentiability question

2023 · 10 Apr · Shift 1 · Q39

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

f:( - 2,2) \to R

be defined by

f(x) = \left\{ {\begin{matrix} {x[x],} & { - 2 \lt x \lt 0} \\ {(x - 1)[x],} & {0 \le x \le 2} \\ \end{matrix} } \right.

where

[x]

denotes the greatest integer function. If m and n respectively are the number of points in

( - 2,2)

at which

y = |f(x)|

is not continuous and not differentiable, then

m + n

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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