Show that this function is analytic(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \left( x + \frac{x}{x^2 + y^2} \right) + i \left( y - \frac{y}{x^2 + y^2} \right) [/tex]

now... would i substitute [tex]x = \frac{z + \overline{z}}{2} [/tex]

and

[tex] y = \frac{z - \overline{z}}{2} [/tex]

and then see if z or z bar appear exlicitly in the function??

Would that solve it??

Is there an easier way? A less Messy way?

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# Show that this function is analytic

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