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Mathematics
Problem
For a series whose terms satisfy
a
n
=
f
(
n
)
a_n=f(n)
a
n
=
f
(
n
)
where
f
f
f
is positive, continuous, and decreasing on
[
n
,
∞
)
[n,\infty)
[
n
,
∞
)
, write the inequality that bounds the remainder
R
n
R_n
R
n
of the series in terms of improper integrals of
f
f
f
.
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