A sequence {pn } is said to be superlinearly convergent to p if lim n

Chapter 2, Problem 2.5.14

(choose chapter or problem)

A sequence {pn } is said to be superlinearly convergent to p if lim n |pn+1 p| |pn p| = 0. a. Show that if pn p of order for > 1, then {pn } is superlinearly convergent to p. b. Show that pn = 1/nn is superlinearly convergent to 0 but does not converge to 0 of order for any > 1.

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