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Leibnitz- Test : Statement & Proof : Infinite Series #Leibnitz- #Test : #Statement #& #Proof : #Infinite #Series

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 Leibnitz- Test : Statement & Proof :                  Statement  :                                                                                                        Back                 If { u n } is a sequence of positive terms such that (a)     U n ≥ u n+1 ∀ n (b)     Lim u n =0 then the alternating series Σ (-1) n-1 is convergent.   Proof :