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 sequence {pn} is said to be super linearly convergent

a. Show that if pn †’ p of order α for α > 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 α for any α > 1.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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