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Mathematics
Problem
Let
b
n
=
ln
(
n
+
1
)
n
+
1
b_n=\dfrac{\ln(n+1)}{n+1}
b
n
=
n
+
1
ln
(
n
+
1
)
for
n
≥
1
n\ge 1
n
≥
1
. Indicate whether
{
b
n
}
\{b_n\}
{
b
n
}
is eventually decreasing and give one brief reason for your answer.
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