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B
x=0 is a point of local maximum of f(x)
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C
x=0 is a point of discontinuity of f(x)
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D
x=0 is not an extrema of f(x)
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Solution
The correct options are Ax=0 is a point of discontinuity of f(x) Bf(x) is increases at x≥1 By graph we can see that is is increasing function when x>0.
Also at x=0, function f(x) is discontinous.
but, we can not find maximum or minimum values at x=0. Because at that point the graph is discontinous.