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Mathematics 17 Online
OpenStudy (anonymous):

convergent or divergent?

OpenStudy (anonymous):

\[\sum_{1}^{\infty}(-1)^nx^n\]

OpenStudy (anonymous):

it is divergent right ?

OpenStudy (anonymous):

this is alternating series so it may be conditional or absolutely convergent or divergent

OpenStudy (anonymous):

absolutely not convergent

OpenStudy (anonymous):

it is not because you add and you subtract then add then subract

OpenStudy (anonymous):

conditionaly divergent right?

OpenStudy (anonymous):

libniz test, if I remeber

OpenStudy (anonymous):

it oscillates between -1 to 1 hence divergent

OpenStudy (anonymous):

oh yeah , had to look up leibniz test. When we take n to infinity this is not zero

OpenStudy (anonymous):

yes no limit hence diverges

OpenStudy (anonymous):

thanks for anwers!

OpenStudy (anonymous):

np, I just realized how much I've forgotten about calc 2

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