4.1 Taylor series
One series you have encountered before is
Taylor’s series,
|
(4.1) |
where
is the
th derivative of
. An example is the Taylor series of the cosine around
(i.e.,
),
Notice that after four steps we are back
where we started. We have thus found (using
in (
4.1
)) )
|
(4.3) |
Question: Show that
|
(4.4) |