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by pemdas » Fri Dec 02, 2011 11:28 pm
ballpark immediately the function part the first term=2/(4^1/2009 +1)=2/(4^0 +1)=1 as 1/2009 is so small close to 0 and the last term 2/(4^2008/2009+1)=2/(4^1+1)=2/5, as 2008/2009 is close to 1, "n"=2008
Sn=(2008/2)*(1+2/5)=1004*(7/5)=1405.6
samuel minato wrote:how to solve this?

f(x) = 2/(4^x + 1)

find the value of
f(1/2009) + f(2/2009) +... + f(2008/2009)
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