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  • If <img alt="f(x)=\left\{\begin{array}{ccc}\frac{3 x-x^{2}}{2}, \,\,\,\,\,\,\

If f(x)=\left\{\begin{array}{ccc}\frac{3 x-x^{2}}{2}, \,\,\,\,\,\,\,\, x \leq 2 \\ {[x-1]} , \,\,\,\,2<x \leq 3 \\ x^{2}-8 x+17, \,\,\,\, x>3\end{array}\right., then f(x) is

Option: 1

discontinuous at x=3


Option: 2

discontinuous at x=2


Option: 3

continuous \forall \,\,\, \mathrm{x} \in \mathrm{R}


Option: 4

none of these


Answers (1)

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