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Lagt inn: 02/02-2011 19:49
Oppgave 13 d)
[tex]g(x)=sin(2x), \: x_0=1[/tex]
Anta at [tex]\: |g^\prime(x)| \leq K|x-a|[/tex]
for alle x elementer i [tex]\: (a-\delta,a+\delta) \:[/tex]
Vis at:
[tex]|x_n-a| \leq K^{2^{n}-1}\delta^{2^{n}}[/tex]
[tex]g(x)=sin(2x), \: x_0=1[/tex]
Anta at [tex]\: |g^\prime(x)| \leq K|x-a|[/tex]
for alle x elementer i [tex]\: (a-\delta,a+\delta) \:[/tex]
Vis at:
[tex]|x_n-a| \leq K^{2^{n}-1}\delta^{2^{n}}[/tex]