I have the expression
Sin[c x]/c. Clearly it is undefined at $c=0$, but that is merely a removable singularity, since
which is continuous everywhere. Is it possible to get this sort of transformation automatically in Mathematica using the built-in formula manipulation tools? I tried a few things like
TrigReduce, etc. but nothing helped.
I'd like to be able to do this for
(1 - Cos[c x])/c, too; that is, automatically transform it into a form that has no singularity at $c=0$.