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Let \mathbbR\rightarrow\mathbbR be any function defined as f(x)=\begincasesx^α\sin 1/x^β & ,x\ne0 \\ 0 & ,x=0\endcases, α , β \in \mathbbR. Which of the following is true? (\mathbbR denotes the set of all real numbers) | Watch the step-by-step video solution for this NIMCET PYQ.