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Sinc function

I am trying to perform some calculus involving the function $f(x) = \sin(x)/x$ in Sage. This function has a removable sigularity at the origin. Is there a way that I can "modify" the function in Sage to set $f(0) = 0$ while preserving the ability to do things like symbolically differentiate it?

Sinc function

I am trying to perform some calculus involving the function $f(x) = \sin(x)/x$ in Sage. This function has a removable sigularity at the origin. Is there a way that I can "modify" the function in Sage to set $f(0) = 0$ 1\$ while preserving the ability to do things like symbolically differentiate it?