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The fuction f(x) is defined in the inter...

The fuction f(x) is defined in the interval [0,1] as follows:
`f(x)={:{(0", "x=0),(1/2-x", " 0ltxlt1/2),(1/2", " x=1/2),(2/3-x", " 1/2 lt x lt1),(1"," " "x=1):}`
Discuss the continuity of the function at `x=1/2`

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