Use of a series to derive ln(1.01) gives
.01 - .0001/2 + .000001/3 - .00000001/4 + ...
~= .00995033... where successive modifications come after these 8 decimal places.
On the other side, for 2/201 = 1/100.5 = 10/1005:
.00995024
-----------
1005 )10.00000000
9 045
-----
9550
9045
----
5050
5025
----
2500
2010
----
4900
So ln(1.01) is larger.
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Posted by Charlie
on 2011-07-26 14:52:55 |