Consider the sequence {pn} with po = 2, and pn = 1+1/Pn-1. (a) Assuming the sequence converges to a positive number p >

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Consider The Sequence Pn With Po 2 And Pn 1 1 Pn 1 A Assuming The Sequence Converges To A Positive Number P 1 (75.98 KiB) Viewed 10 times

Consider the sequence {pn} with po = 2, and pn = 1+1/Pn-1. (a) Assuming the sequence converges to a positive number p > 0, find p = limn→∞ Pn. (b) Show that the sequence is linearly convergent (a = 1), and find the corresponding value of À in the definition of order of convergence. (c) Find a sequence that converges to the same value p as before, but quadratically (you do not have to prove that it converges, only give a brief justification for why it is quadratic).