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    Find the absence of limits for z/z-negated

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    Show that the limit of the function:

    f(z) = ( z / z-negated)^2

    (z-negated -> by this i mean z with a bar above it)

    as z tends to 0 does not exist. Do this be letting nonzero points z = (x,0) and z = (x,x) approach the origin.

    note: it's not sufficient to simply consider points z = (x,0) and z = (0,y)

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    Solution Summary

    The solution provides examples how to demonstrate the absence of limits for z/z-negated.