Mathematics, 17.02.2021 18:40 jake7484

Let (an)n∈N and (bn)n∈N be two real sequences with limn→[infinity] an = α ∈ R and |bn − an| ≤ 2 −n r where r > 0. Show that (bn)n∈N converges to α

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Let (an)n∈N and (bn)n∈N be two real sequences with limn→[infinity] an = α ∈ R and |bn − an| ≤ 2 −n r...