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The definition of the function f (x) is ...

The definition of the function f (x) is given below: `f(x)={{:((1)/(2)-x,"when "xlt3 ),(1,"when " x=3),(x-(1)/(2),"when " xgt3):}`
Calculate f (3-0), f(3+0),f(3) and state whether f (x) is continuous at x =3 or not.

Text Solution

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The correct Answer is:
`(-(5)/(2)),(5)/(2),1;f(x)` is not continuous at x = 3
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