if z 1 , z 2 , converges with the limit l and z 1 , z 2 converges with the limit show that z 1 z 1 , z 2 z 2 , is convergent with the limit l l

Question: if z 1 , z 2 , converges with the limit l and z * 1 , z * 2

if z₁, z₂, · · · converges with the limit l and z^*₁, z^*_{2 · · ·}converges with the limit show that z₁ + z^*₁, z₂+ z^*₂,· · · is convergent with the limit l + l^*.

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