Suppose that P is a polynomial and that P(a) 0 for a fixed a R Prove that P(x) (x a) as x a , P(x) (x a) as x a , but does not exist P(x)...

By Exercise 323b and symmetry it suffices to prove Pxx x ...

Suppose that P is a polynomial and that P(a) > 0 for a fixed a R.

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Suppose that P is a polynomial and that P(a) > 0 for a fixed a ˆŠ R. Prove that P(x)/(x - a) †’ ˆž as x †’ a+, P(x)/(x - a) †’ -ˆž as x †’ a-, but

does not exist.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 03:57 AM

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Suppose that P is a polynomial and that P(a) > 0 for a fixed a R.

Question:

P(x)

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By Exercise 323b and symmetry it suffices to prove Pxx x ...View the full answer

An Introduction to Analysis

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