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` 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