If f x -lleft begin matrix 1-x- -when xlleq 2 5-x- -when xlleq 3 endmatrix -right- - thenA- f x is discontinuous at x -2B- fx is continuous at x-2C- fx is continuous at x-3D- None of these

The correct option is B f(x) is continuous at x = 2lim_x → 2 f(x)=3, lim_x → 2+f(x)=3 and f(2) =3 ...

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Derivative of Standard Functions

If f x =lleft...

Question

If $f (x) = {\begin{matrix} 1 + x, & w h e n x \leq 2 5 - x, & w h e n x \leq 3 \end{matrix}$ , then

f(x) is continuous at x = 2

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f(x) is discontinuous at x = 2

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f(x) is continuous at x = 3

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None of these

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