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Discuss the continuity of 'f' in [0, 2],...

Discuss the continuity of 'f' in [0, 2], where `f(x) = {{:(|4x - 5|[x],"for",x gt 1),([cos pi x],"for",x le 1):}`, where [x] is greastest integer not greater than x.

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The correct Answer is:
f(x) is continuous everywhere in [0, 2] except for `x = 0, (1)/(2), 1` and 2
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