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f(x)={x+2ifx3 4x7ifx>3 Let f be the function given above. Which of the following statements are true about f ? I.lim x3 f(x) exists. II. f

f(x)={x+2ifx3

4x7ifx>3

Letfbe the function given above. Which of the following statements are true aboutf?

I.lim

f(x)

exists.

II.fis continuous atx= 3.

III.fis differentiable atx= 3.

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