If f x - eft begin matrix 16- -when - X -2A- f x is continuous at x -2B- f x is discontinuous at x -2C- None of theseD- lim x - 2 f x -16

The correct option is B f(x) is discontinuous at x=2lim_x → 2f(x)=lim_x → 2(x+2)(x^2+4)=32, f(2)=16 ...

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Inequality

If f x =⟨ eft...

Question

If $f (x) = {\begin{matrix} \frac{x^{4} - 16}{x - 2}, & w h e n x \neq 2 16, & w h e n x = 2 \end{matrix}$ ,then

f(x) is continuous at x = 2

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f(x) is discontinuous at x=2

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{lim}_{x \to 2} f (x) = 16

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None of these

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