Question: A sequence {pn} is said to be super linearly convergent to p if a. Show that if pn p of order for

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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