A sequence {pn} is said to be super linearly convergent to p if a. Show that if

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A sequence {pn} is said to be super linearly convergent to p if

a. Show that if pn †’ p of order Î± for Î± > 1, then {pn} is super linearly convergent to p.
b. Show that pn = 1/nn is super linearly convergent to 0 but does not converge to 0 of order Î± for any Î± > 1.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:35 AM

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A sequence {pn} is said to be super linearly convergent to p if a. Show that if

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1-ti-Pl=0.

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