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Comparison Test : Statement & Proof INFINITE SERIES #comparison #test #infinite #series

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Comparision Test -1 :   Statement : If Σu n and Σv n are two series of non-negative terms such that                                Back a)                                           There is a positive integer m and k 𝞊 R +  , 0 ≤  u n ≤ k v n   ∀ n ≥ m and                       b)       Σv n   is convergent then Σu n is convergent.      Proof : Comparison test -2 : Statement  : If Σu n  and Σv n  are two series of non-negative terms such that  a)                                          There is a positive integer m and k  𝞊  R +  ...