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December 4th, 2016, 06:30 AM   #1
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Calculate series (Geometric or harmonic)

Hello,
How can solve this?
I think The numerator is harmonic.
Attached Images photo367218669177121412.jpg (92.5 KB, 11 views) 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. Tags calcualte, calculate, geometric, harmonic, series Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post William Labbett Number Theory 0 October 11th, 2014 03:57 AM Daltohn Calculus 3 March 2nd, 2014 12:31 PM julian21 Real Analysis 2 December 8th, 2010 12:38 PM brunojo Real Analysis 11 December 2nd, 2007 07:49 AM astro_girl_690 Physics 5 January 13th, 2007 11:03 AM

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