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  • 5 years ago

i)Prove, by using the formal definition of limit, that the sequence (1 + 5n)/n + n i / n + 3 n ∈ N has limit 5 + ı. ii)Prove that the fact that the above sequence converges to 5 + i implies that the sequence square root of ( [(1 + 5n)^2 / n^2] + [n^2 / (n+3)^2] ), n ∈ N converges to √26. Note: In this question you can assume without proof that the inequalities ||z| − |w|| ≤ |z + w| ≤ |z| + |w| hold for all z and w in C can anyone help me with this example? thanks

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