Abstract
We now consider the legitimacy of passing to the limit under the integral sign. If the sequence 〈f n 〉 of R-integrable functions converges to a limit f on an interval [a, b] does it necessarily follow that
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© 1983 Springer-Verlag New York, Inc.
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Fischer, E. (1983). The Riemann Integral II. In: Intermediate Real Analysis. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9481-5_14
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DOI: https://doi.org/10.1007/978-1-4613-9481-5_14
Publisher Name: Springer, New York, NY
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