(a) If g(x) = (sin2x)/x2, use your calculator or computer to make a table of approximate values...

Question:

(a) If g(x) = (sin2x)/x2, use your calculator or computer to make a table of approximate values of

for t = 2, 5, 10, 100, 1000, and 10,000. Does it appear that

is convergent?
(b) Use the Comparison Theorem with f(x) = 1/x2 to show that

Is convergent.
(c) Illustrate part (b) by graphing f and g on the same screen for 1 ‰¤ x ‰¤ 10. Use your graph to explain intuitively why

is convergent.

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Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

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Question Posted: Mar 04, 2016 07:07 AM

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(a) If g(x) = (sin2x)/x2, use your calculator or computer to make a table of approximate values...

Question:

g(x) dx g(x) dx 1 g(x) dx g(x) dx

Step by Step Answer:

a gx sin 2 xx 2 is appears that the integral is convergent b 1 sin x 1 0 sin2...View the full answer

Calculus Early Transcendentals

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