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Finding Inverse Using Elementary Transformations

If f x =lleft...

Question

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

A

{lim}_{x \to 1} f (x) = 2

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B

f(x) is continuous at x = 1

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C

f(x) is discontinuous at x = 1

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D

None of these

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Solution

The correct option is C f(x) is discontinuous at x = 1
${lim}_{x \to 1} f (x) = 1, f (1) = 2$

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