'rove or give counterexample. (a) If (x) and (yn) diverge, then (x + yn) diverges. (b) If (x) and (yn) diverge, then (znyn) diverges. (c) If (n) and (n + yn) converge, then (yn) converges. (d) If (rn) and (Enyn) converge, then (yn) converges.

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