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Is the function f defined by f(x)={(x", ...

Is the function f defined by `f(x)={(x", if "xle1),(5", if "xgt1):}` continuous at x=0, at x=1 and at x=2 ?

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The correct Answer is:
At `x=0 f.(x)` is continuous at `x=1, f(x)` is not continuous and at `x=2, f(x)` is continuous]
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