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Could someone please help me with this question For each of the following, prove or give a counterexample. 1. If (Sn) and (tn ) are

Could someone please help me with this question

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For each of the following, prove or give a counterexample. 1. If (Sn) and (tn ) are divergent sequences, then (Sn + tn) diverges. 2. If (Sn) and (tn) are divergent sequences, then (Sntn) diverges. 3. If (Sn) and (Sn + tn) are convergent sequences, then (tn ) converges. 4. If (Sn) and (Sntn) are convergent sequences, then (tn) converges

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