36.22
36.23
36.24
36.25
36.26
36.27
36.28
36.29
36.30
36.31
36.32
INFINITE SEQUENCES
307
In general, the same method that was used for rational functions (like
can be used here.
Divide by the highest power in the denominator.
Since
Therefore,
a n =ln (« + 1) — In n.
ln(n + l)-ln« = ln
In
In 1 = 0.
since
36.23
36.24
36.25
36.26
36.27
36.28
36.29
36.30
36.31
36.32
INFINITE SEQUENCES
307
In general, the same method that was used for rational functions (like
can be used here.
Divide by the highest power in the denominator.
Since
Therefore,
a n =ln (« + 1) — In n.
ln(n + l)-ln« = ln
In
In 1 = 0.
since
