Discuss the continuity of f(x) in [0,2] ...

Discuss the continuity of f(x) in [0,2] where
` f(x) = {{:([cos pi x]" , " x le 1),(| 2x - 3 |.[ x- 2]" ," x gt 1):}`
where [.] denotes the G.I.F.

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The correct Answer is:

continuous when `x in {0,2]-{0,(1)/(2),2}`

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