# Concept derivation guides

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Concept guide



## [Two convergent subsequences of an oscillatory tail](/en/derivations/derivation-mko-bolzano-weierstrass-theorem-real-01/?from=%2Fen%2Fderivations%2F%3Fq%3Dmko-bolzano-weierstrass-theorem-real)

For a_n=(-1)^n+1/(n+1), provide boundedness and two complete convergent subsequences.

Bolzano-Weierstrass theorem for real sequences

derivation-mko-bolzano-weierstrass-theorem-real-01





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