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Differentiability

If f x =lleft...

Question

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

A

f(x) is continuous at x = 1

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B

f(x) is discontinuous at x = 1

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C

{lim}_{x \to 1} f (x) = 1

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D

None of these

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Solution

The correct option is B f(x) is discontinuous at x = 1
${lim}_{x \to 1 -} f (x) = 1, {lim}_{x \to 1 +} f (x) = 6$

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