oscillating: eg. 1, -1, 1, -1 ,1, -1, .............
periodic: eg. 1,2,3,5,1,2,3,5,1,2,3,5, ..........
I suppose you could argue that oscillating sequences are a special case of periodic.
Bob
I thought it was the other way around.
]]>periodic: eg. 1,2,3,5,1,2,3,5,1,2,3,5, ..........
I suppose you could argue that oscillating sequences are a special case of periodic.
Bob
]]>When I first learnt about convergence, the implication was that if it didn't converge then it diverged. But, more recently, I have met a text that listed four possibilities:
converge, diverge, oscillate and periodic.
Putting a name to it, is not as important as describing what the sequence is doing.
Bob
]]>what happens as n goes to infinity?
My thoughts are that it oscillates between near 0.5 and -0.5 but never hits either. does this mean it diverges?
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