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Limits Continuity and Differentiability question

2025 · 28 Jan · Shift 1 · Q47

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JEE Main
Mathematics
Limits Continuity and Differentiability
2025 · 28 Jan · Shift 1 · Q47

Limits Continuity and Differentiability question

2025 · 28 Jan · Shift 1 · Q47

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Let

\mathrm{f}(x)=\left\{\begin{array}{lc}3 x, & x2\end{array}\right.

where [.] denotes greatest integer function. If

\alpha

and

\beta

are the number of points, where

f

is not continuous and is not differentiable, respectively, then

\alpha+\beta

equals

\underline{\hspace{2cm}}

.

Numerical answer

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