Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 August 25th, 2019, 06:58 AM #1 Senior Member   Joined: Dec 2015 From: Earth Posts: 833 Thanks: 113 Math Focus: Elementary Math Average value Find the mean value of $\displaystyle a_n =\frac{1}{n} \;$, $\displaystyle n\in \mathbb{N}.$ August 25th, 2019, 07:53 AM #2 Senior Member   Joined: Jun 2019 From: USA Posts: 386 Thanks: 211 It has to be zero, right? For any $\displaystyle 0 < \varepsilon < 1, \exists N = \lfloor \frac{1}{\varepsilon} \rfloor$ terms larger than $\displaystyle \varepsilon$, leaving an infinite number of terms smaller than $\displaystyle \varepsilon$. Thanks from idontknow August 26th, 2019, 09:03 AM #3 Senior Member   Joined: Dec 2015 From: Earth Posts: 833 Thanks: 113 Math Focus: Elementary Math $\displaystyle m=\lim_{n\rightarrow \infty } \frac{H_n }{n} =\lim_{n\rightarrow \infty } \frac{\ln(n)}{n}=0$. H is the harmonic sum . Tags average 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 opentojoin Calculus 2 March 30th, 2015 02:55 AM Apple30 Elementary Math 4 January 22nd, 2015 06:04 PM Jet1045 Calculus 4 January 30th, 2012 06:10 PM SidT Elementary Math 5 August 17th, 2008 03:16 AM

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