Re: -- Polynomial approximation for 1/(x+a) in large domain.

I am looking at how polynomial approximations compare to complete
functions in implementation, digital filters etc. I agree that 1/x
would go to zero, and polynomials would go to infinity for large x,
which is why I am restricting the domain - and so, as can be seen from
the second post, the coefficients of higher powers of x become smaller
and smaller, as is to be expected, in order to make the approximation
tend to zero for large x. In a finite domain however, given a
sufficiently high order, I guess I should be able to get a fairly
accurate result (again, as seen above). I am looking at complex
functions, hence my second post. I guess that it would be more
appropriate for a Maple group however.
.

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