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``Big Oh'' Notation.

If the absolute value of the function is bounded by a constant times as , we say that (`` is Oh of ''); this means that goes to zero as fast as, or faster than the power of , as :

If we want to approximate the function by the Taylor polynomial throughout the interval we make the following approximation error

In other words, the Taylor polynomial approximation error within is

Adrian Sandu 2001-08-26