Abstract
In Definition 6.1.5 we defined what it meant for a sequence \( \left( {x_{n} } \right)_{n = m}^{\infty } \) of real numbers to converge to another real number x; indeed, this meant that for every ε > 0, there exists an N ≥ m such that|x − x n | ≤ ε for all n ≥ N. When this is the case, we write lim n→∞ x n = x.
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© 2016 Springer Science+Business Media Singapore
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Tao, T. (2016). Metric spaces. In: Analysis II. Texts and Readings in Mathematics, vol 38. Springer, Singapore. https://doi.org/10.1007/978-981-10-1804-6_1
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DOI: https://doi.org/10.1007/978-981-10-1804-6_1
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