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5. Consider a sequence of complex numbers {on}. (a) If 2(a). + an) converges, does Zen necessarily converge? (b) If Zanl + Inll) converges, does

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5. Consider a sequence of complex numbers {on}. (a) If 2(a)." + an") converges, does Zen necessarily converge? (b) If Zanl + Inll) converges, does 2 an necessarily converge? If our answer is " es", provide a roof; if our answer is "no", rovide examples of both diver ence .Y and convergence

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