You will show that the following improper integral converges to 1: (a) Use the Fundamental Theorem to

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You will show that the following improper integral converges to 1:

(a) Use the Fundamental Theorem to find ∫b1 1∕x2 dx. Your answer will contain b.
(b) Now take the limit as b → ∞. What does this tell you about the improper integral?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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