If t > 0, define E(t) := «0 [(e-txsin x)/x]dx . (a) Show that E exists and
Question:
(a) Show that E exists and is continuous for t > a > 0. Moreover, E(t) 0 as t .
(c) Deduce that E(t) = 1/2 Ï - Arctan t for t > 0.
(d) Explain why we cannot use the formula in (c) to obtain equation (12).
Transcribed Image Text:
e-tsin x at х Se-
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a If a 0 then e tx sin xx e ax for t J a a If t k J a and t k t 0 Ja then the argument in 1046d ...View the full answer
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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