a > 0 und xo > 0 are the start values (+) 1 a Xn + 2 Xn+1 Xn |(xn)neN is the sequence with without proof you can assume: 5:= lim xn. S this sign i'll just call z a) show that z is greater or equals 0 b)Show that z^2 equal a, and conclude that z= root of a Use this lim xn = lim xn+1 but you can assume that z is greater than 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a > 0 und xo > 0 are the start values
1
Xn +
a
Xn+1 :=
(xn)nɛN
is the sequence with
without proof you can assume
5:= lim xn.
S this sign il just call z
a) show that z is greater or equals o
b)Show that z^2 equal a, and conclude that z= root of a
Use this
5= lim xn
lim In+1
n00
but you can assume that z is greater than 0
c)calculate for a= 2, and x0= 7/5 the values of x1 and x2. the values have to given in
fractions. compare the x2 value with the exact value of root of 2.
Transcribed Image Text:a > 0 und xo > 0 are the start values 1 Xn + a Xn+1 := (xn)nɛN is the sequence with without proof you can assume 5:= lim xn. S this sign il just call z a) show that z is greater or equals o b)Show that z^2 equal a, and conclude that z= root of a Use this 5= lim xn lim In+1 n00 but you can assume that z is greater than 0 c)calculate for a= 2, and x0= 7/5 the values of x1 and x2. the values have to given in fractions. compare the x2 value with the exact value of root of 2.
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