SOLUTION: estimate the value of ln2. Using complete sentences, explain how you know.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: estimate the value of ln2. Using complete sentences, explain how you know.       Log On


   



Question 1115168: estimate the value of ln2. Using complete sentences, explain how you know.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You didn't mention how but I'm going to use a Taylor series expansion.


ln%282%29=1-1%2F2%2B1%2F3-1%2F4%2B1%2F5-1%2F6%2B1%2F7-1%2F8%2B1%2F9-1%2F10%2B1%2F11-1%2F12
You can continue to add terms to get closer to the real value,
ln%282%29=18107%2F27720
or
ln%282%29=0.6532
compared to the real value of
ln%282%29=0.6931