duckiness
Does the series cos n /(n^3) converge or diverge?
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modphysnoob
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n^3 would converge
duckiness
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what test would you use to prove it?
modphysnoob
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p test
modphysnoob
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I am assuming it is from 1 to infinity
xkylex
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Yes, it would be converge
duckiness
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yep! I just don't know how to prove it with a test
modphysnoob
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start with just 1/n^3
duckiness
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could you use the comparison test?
modphysnoob
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yes,
1/n^3 always converge
modphysnoob
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cos (x)<1
xkylex
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It does not require a paragraph of an explanation, you could either use the link I showed you for an example as they do some hardcore calculating or you can follow what modphysnoob is doing.