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If xi > 0 and xn+1 := (2+ xn)¯' for n> 1, show that (x,„) is a contractive sequence. Find the limit.

If xi > 0 and xn+1 := (2+ xn)¯' for n> 1, show that (x,„) is a contractive sequence. Find the limit.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Dear expert plz give these answes of these quires. And plz solve it on pagee then send me bcz mobile writing is not suite for my mobile thanks
If xi > 0 and xn+1 := limit. (2 + xn)¯' for n 2 1, show that (x,) is a contractive sequence. Find the If x := 2 and x,n+1 := 2 + 1/x, for n > 1, show that (x,,) is a contractive sequence. What is its limit? The polynomial equation x³ – 5x +1 = 0 has a rootr with 0 < r< 1. Use an appropriate contractive sequence to calculate r within 10¬*.
Transcribed Image Text:If xi > 0 and xn+1 := limit. (2 + xn)¯' for n 2 1, show that (x,) is a contractive sequence. Find the If x := 2 and x,n+1 := 2 + 1/x, for n > 1, show that (x,,) is a contractive sequence. What is its limit? The polynomial equation x³ – 5x +1 = 0 has a rootr with 0 < r< 1. Use an appropriate contractive sequence to calculate r within 10¬*.
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