Using the power series for arctan show that pi/4-ln(sqrt(2))=1-1/2-1/3+1/4+1/5...
The Attempt at a Solution
The first thing I noticed was that arctan(1)=pi/4 and represented 1-1/3+1/5...
I am having trouble figuring out what -1/2+1/4-1/6... is equivalent to besides a simple series.
If anyone has any hints. I would love to hear them because I am stuck.