Math Is Fun Forum

woodoo

Member

Registered: 2007-02-10

Posts: 11

Unbounded sequence that doesnt diverge to -∞ or ∞

I have a question that says find an unbounded sequence that doesn't diverge to -∞  or ∞. I can't figure one out, I don't think it exists. Anyone know of one?

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

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.

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Why did the vector cross the road?
It wanted to be normal.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

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.

As for mine, I always stick with trig:

sin(n)

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"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..."

Yosef Bisk

Guest

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