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Limits Continuity And Differentiability

AP EAPCET 2024 - 19th May Evening Shift

MCQ+1 / -02024

If $f(x)=\left\{\begin{array}{cl}x^\alpha \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, & x=0\end{array}\right.$

which of the following is true?

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