1. 2 n converges n Claim: The sequence ( sn ) givenby s n= 2 n Proof: Let n sn = 2 n+1 n 2 n n . The sequence of ratios S n+1 = Sn By the ratio test, for sequences, the sequence (Sn) converges to 0. A. Is the claim true or false? Explain carefully if the claim is false. B. Critique the proof. Is it complete? Does it prove the claim? What are the flaws, if any? 2. True or False? If true, prove it carefully. You can apply or cite any of our relevant definitions, theorems, examples or exercises. - If an If ) is any increasing sequence of negative real numbers and ( b ( n)is any cauchy sequence of real numbers , thenthe sequence ( anb n ) converges .