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Are there certain conditions when I am allowed to use the divergence test?
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which test for divergence?
cause there are a lot and each has it's own special restrictions
Divergence test saying that if lim as n goes to inf of {a sub n} does not = 0, therefore we can say that {a sub n} diverges.
no, you should be able to use that one wherever, however, that test cannot tell you if the series is convergent or not, only divergent. a limit of 0 does not mean convergence, but any other limit value does mean divergence.
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