exercise:8a1e57b5c7: Difference between revisions
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Prove the converse of Theorem | |||
i.e., if <math>f</math> is integrable over <math>[a,b]</math>, then | Prove the converse of [[guide:1015d40cf5#theorem-2|Theorem]]; i.e., if <math>f</math> is integrable over <math>[a,b]</math>, then <math>\lim_{n\goesto\infty} (U_n - L_n) = 0</math>. | ||
<math>\lim_{n\goesto\infty} (U_n - L_n) = 0</math>. | |||
(This is a difficult problem.) | (This is a difficult problem.) | ||
Latest revision as of 19:31, 23 November 2024
[math]
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[/math]
Prove the converse of Theorem; i.e., if [math]f[/math] is integrable over [math][a,b][/math], then [math]\lim_{n\goesto\infty} (U_n - L_n) = 0[/math]. (This is a difficult problem.)