MIT18_100BF10_pset11

# MIT18_100BF10_pset11 - t 1 γ on the interval[0 1(b For...

This preview shows pages 1–2. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: t 1 γ on the interval [0 , 1] ). (b) For which β ∈ R does the integral ∞ − t e dt t β 1 converge (absolutely)? ( Hint : First try to understand the convergence of the integral of t 1 γ 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 ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

MIT18_100BF10_pset11 - t 1 γ on the interval[0 1(b For...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online