Am 10.01.2012 21:52, schrieb [email protected]:
And I'm not sure that one needs such an assumption here. f(x)/g(x) where f(x)=x**2 and g(x)=x is continuous by continuation (I'm unsure of the english terminology). In the cases when it's not continuous it will simplify to something not continuous.
f/g will be x, which is continuous. So yes, in this case, the simplification changes the result.
For f=x and g=x**2, however, f/g could be simplified to 1/x without eliminating a discontinuity(term?)
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