Which discontinuities of function are removable


Consider f(z) be defined by

f(z) = z+1/(z-2) if z is not equal to 1

or 1 if z = 1.

At which points f(z) has the limit, and at which points is it continuous? Which discontinuities of f(z) are removable?

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Mathematics: Which discontinuities of function are removable
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