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December 4th, 2016, 06:30 AM  #1 
Senior Member Joined: Feb 2014 Posts: 114 Thanks: 1  Calculate series (Geometric or harmonic)
Hello, How can solve this? I think The numerator is harmonic. 
December 4th, 2016, 10:27 AM  #2 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Is the upper bound supposed to be $\displaystyle \log_2(n)$? If so, then the summation only makes sense for n a power of 2. And is the logarithm in the denominator of the summand to base 2? For example, if n= 2, then $\displaystyle \log_2(n)= 1$ so the summation is from i= 0 to 1: $\displaystyle \frac{\frac{2}{1}}{\log_2(\frac{2}{1})}+ \frac{\frac{2}{2}}{\log_2(\frac{2}{2})}= \frac{2}{1}+ \frac{2}{0}$ Hmm! since $\displaystyle \log(1)= 0$, that will always have a 0 in the denominator of a fraction so the summation does not exist! Last edited by skipjack; December 5th, 2016 at 05:07 AM. 
December 4th, 2016, 11:28 AM  #3 
Newbie Joined: Jun 2016 From: Poland Posts: 14 Thanks: 2 
So let us change the left border of sum $\displaystyle i=2$
Last edited by skipjack; December 5th, 2016 at 05:05 AM. 

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calcualte, calculate, geometric, harmonic, series 
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