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

You are not logged in. #2 20070213 08:24:28
Re: Unbounded sequence that doesnt diverge to ∞ or ∞hmm... oscillates: 1, 1, 1, 1, ... But divergent not for oo or +oo and unbounded, I am not seeing any example... #3 20070213 09:23:39
Re: Unbounded sequence that doesnt diverge to ∞ or ∞I'd agree with that. If it doesn't diverge to infinity then it has to be bounded by some number, even if it's a million or something. Why did the vector cross the road? It wanted to be normal. #4 20070214 02:39:19
Re: Unbounded sequence that doesnt diverge to ∞ or ∞aha! * it's not convergent (oscillates around y=0) * it's not bounded (fully or partially): * yet it doesn't diverge either to +oo or oo because: Last edited by kylekatarn (20070214 02:48:02) #5 20070214 03:16:23
Re: Unbounded sequence that doesnt diverge to ∞ or ∞Interesting function, kylekatarn. I've never thought of an unbounded sequence that had subsequences which one diverges to infinity and the other to negative infinity. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #6 20131215 15:25:53
Re: Unbounded sequence that doesnt diverge to ∞ or ∞The sequence sin(n) is bounded within [1,1] , perhaps you mean n(sin(n)) which does not diverge to + or  infinity but oscillates between positive and negative, and increases in absolute value 