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anonymous
 5 years ago
To test the convergence of series sin(9/n), which test should i use?
anonymous
 5 years ago
To test the convergence of series sin(9/n), which test should i use?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think that the partial sum test will give you a sufficient answer. As n increases, the value of sin being evaluated gets increasingly smaller after n = 9. Then looking at even larger values, the sin function approaches the smaller and smaller values getting closer to the sin(0) = 0 . This means that it converges to zero.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0My bad, there is another name for that, but the behavior follows the explanation. Now as to the sum, of the series, that's a different story.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks for helping out. you used the nth term test or whatever it is called, it is a test for divergence

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah, that stuff drives me nuts because it's so cool, but there are so many forms and rules, and only a few things I actaully need to know how to use. Hard to remember all of it.
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