MIT18_100BF10_pset11

MIT18_100BF10_pset11 - t 1 on the interval [0 , 1] ). (b)...

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18.100B : Fall 2010 : Section R2 Homework 11 Due Tuesday, November 23, 1pm Reading: Tue Nov.16 : Quiz 3 (covering Rudin 4, 5); Riemann integrability and continuity almost everywhere Thu Nov.18 : Stieltjes integral, fundamental theorem of calculus, Rudin 6.13-22 1 . Problem 3, page 138 in Rudin . 2 . Problem 7, page 138 in Rudin . 3 . Use the definitions in Problems 7 and 8 of Rudin to answer the following questions: (a) For which α R does the integral 1 sin t dt t α 0 converge (absolutely)? ( Hint : First try to understand the convergence of the integral of
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Unformatted text preview: t 1 on the interval [0 , 1] ). (b) For which R does the integral t e dt t 1 converge (absolutely)? ( Hint : First try to understand the convergence of the integral of t 1 on the interval [1 , ) ). 4 . Problem 17, page 141 in Rudin . MIT OpenCourseWare http://ocw.mit.edu 18.100B Analysis I Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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MIT18_100BF10_pset11 - t 1 on the interval [0 , 1] ). (b)...

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