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Check the continuity of f(x) = {{:(x^(2)...

Check the continuity of f(x) = `{{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2, if 1 lt x le 2):}` at `x = 1`

A

`f (x), f '(x)` are continous

B

`f'(x)` is continous, `f''(x)` is not continous

C

`f ''(x)` is continous

D

`f''(x)` is non differentiable

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A, B, D
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VIKAS GUPTA (BLACK BOOK) ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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