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## Main Question or Discussion Point

Lets say we have a function of a complex variable z , f(z).

I read that for the function to be differentiable at a point z

Can someone give me an example where the CR equations hold but the function is not differentiable at that point , thus justifying that the CR equations holding true aren't sufficient test.

I am unable to visualise.

I read that for the function to be differentiable at a point z

_{0}, the CR equations are a necessary condition but not a sufficient condition.Can someone give me an example where the CR equations hold but the function is not differentiable at that point , thus justifying that the CR equations holding true aren't sufficient test.

I am unable to visualise.