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Discuss the continuity of the function f...

Discuss the continuity of the function f(x) at `x= (1)/(2)`, when f(x) is defined as follows :
`f(x)={{:((1)/(2)+x,0 le x lt (1)/(2)),(1, x= (1)/(2)),((3)/(2)-x, (1)/(2) lt le 1):}`.

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The correct Answer is:
`x=(1)/(2)`
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