[Solution] Prove or give a counterexample: If s and t are divergent sequences, then (s + t) diverges If s and t are divergent sequences, then (s * t) diverges


Question: Prove or give a counterexample:

  1. If s and t are divergent sequences, then ( s + t) diverges
  2. If s and t are divergent sequences, then (s * t ) diverges
  3. If s and (s + t) are convergent seq, then t converges
  4. If s and ( S*t) are convergent sequences, then t converges

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