Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

Login

Username

Password

Not registered yet?

#1 2013-03-08 01:33:30

White_Owl
Full Member

Offline

Summation of harmonic sequence

Problem:


Here c is a positive constant, find is this sequence convergent or divergent and if it is convergent, what it converges to?

I see that the series is convegent.


And I also see that it converges to some value which is bigger than 1/c, but less than 2/c.
But what exactly is the value? How to reach it?

Last edited by White_Owl (2013-03-08 01:33:44)

#2 2013-03-08 12:00:07

bobbym
Administrator

Online

Re: Summation of harmonic sequence

Hi;

If you are summing it, it is a series not a sequence. That type do not converge.


In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

Board footer

Powered by FluxBB