i) Prove that a convergent sequence is bounded. That is, EEK>0 such that |xₙ|<=K for all n.
ii) Prove that if aₙ)->a and bₙ->b, then aₙbₙ has a limit of ab.

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25-07-2024
Mathematics

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i) Prove that a convergent sequence is bounded. That is, EEK>0 such that |xₙ|<=K for all n.
ii) Prove that if aₙ)->a and bₙ->b, then aₙbₙ has a limit of ab.

Sagot :

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