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Let f(x)=[x], where [.] is the greatest ...

Let `f(x)=[x]`, where [.] is the greatest integer fraction and `g(x)=sin x` be two valued functions over R. Which of the following statements is correct? (a) Both f(x) and g(x) are continuous at `x=0` (b) `f(x)` is continuous at `x=0`, but `g(x)` is not continuous at `x=0`. (c) g(x) is continuous at `x=0`, but f(x) is not continuous at `x=0`. (d) Both f(x) and g(x) are discontinuous at `x=0`

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