let a₁, a₂,..., aₙ, be a sequence of rational numbers. the sequence is called a cauchy sequence if for every positive real number e, there is a natural number n, such that for all m, n > N. Prove that the sequence 2482m is a cauchy sequence.

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22-06-2024
Mathematics

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let a₁, a₂,..., aₙ, be a sequence of rational numbers. the sequence is called a cauchy sequence if for every positive real number e, there is a natural number n, such that for all m, n > N. Prove that the sequence 2482m is a cauchy sequence.

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let a₁, a₂,..., aₙ, be a sequence of rational numbers. the sequence is called a cauchy sequence if for every positive real number e, there is a natural number n, such that for all m, n > N. Prove that the sequence 2482m is a cauchy sequence.

Sagot :

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