Removable Singularity

A removable singularity is a singular point z_0 of a function f(z) for which it is possible to assign a complex number in such a way that f(z) becomes analytic. A more precise way of defining a removable singularity is as a singularity z_0 of a function f(z) about which the function f(z) is bounded. For example, the point x_0=0 is a removable singularity in the sinc function sinc(x)=sinx/x, since this function satisfies sinc(0)=1.

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