Show that f(z) is Continuous and Analytic everywhere | Analytic Functions

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Show that f(z) = xy+iy is everywhere Continuous and not Analytic | Analytic Functions Show that f(z) = xy+iy is everywhere Continuous and not Analytic | Analytic Functions
Show that log(z) is analytic. Show that log(z) is analytic.
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Show that the function ๐’‡(๐’›)=๐’”๐’Š๐’๐’™ ๐’„๐’๐’”๐’‰๐’š+๐’Š๐’„๐’๐’”๐’™ ๐’”๐’Š๐’๐’‰๐’š is analytic everywhere || Complex Analysis Show that the function ๐’‡(๐’›)=๐’”๐’Š๐’๐’™ ๐’„๐’๐’”๐’‰๐’š+๐’Š๐’„๐’๐’”๐’™ ๐’”๐’Š๐’๐’‰๐’š is analytic everywhere || Complex Analysis
Show that log z is analytic & find f Show that log z is analytic & find f'(z)
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