Q.The function $f(x)=\begin{cases}\sin x/x & x\ne0 \ 1 & x=0 \end{cases}$ is

continuous and differentiable everywhere

continuous everywhere but not differentiable at 0

discontinuous at 0

none

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

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Q.The function f(x)={sin⁡x/xx≠0 1x=0f(x)=\begin{cases}\sin x/x & x\ne0 \ 1 & x=0 \end{cases}f(x)={sinx/x​x=0 1​x=0​ is