Q.If $f(x) = \begin{cases} \frac{x-|x|}{x} & x \ne 0 \ 0 & x = 0 \end{cases}$ , then $f$ is

continuous at

x=0

discontinuous at

x=0

differentiable at

x=0

none

The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.If f(x)={x−∣x∣xx≠0 0x=0f(x) = \begin{cases} \frac{x-|x|}{x} & x \ne 0 \ 0 & x = 0 \end{cases}f(x)={xx−∣x∣​​x=0 0​x=0​, then fff is