Determine whether the following statements are true and give an explanation or counterexample. a. If f is

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Determine whether the following statements are true and give an explanation or counterexample. 

a. If f is continuous and 0 < f(x) < g(x) on the interval (0, ∞), and-Го | g(x) dx = M < ∞, then Г(х) dx exists.

b.If lim f(x) = 1, then f(x) dx exists.

c.exists, where q > p.

d.exists, where q > p.

e.exists, for p > -1/3.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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