Q.The function $f(x) = x^5 \sin(1/x)$ for $x \ne 0$ and $f(0)=0$ is

differentiable at

x=0

not differentiable at

x=0

discontinuous 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.The function f(x)=x5sin⁡(1/x)f(x) = x^5 \sin(1/x)f(x)=x5sin(1/x) for x≠0x \ne 0x=0 and f(0)=0f(0)=0f(0)=0 is