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Answer 1

@pooja195 please help

Answer 2

@.Sam.

Answer 3

@Elsa213

Answer 4

Have you considered substituting each set of given values of alpha and beta into the expression for x_n? This approach may be simplistic, but should succeed in enabling you to identify the correct values of alpha and beta for convergence.

Answer 5

@mathmale I dont know how to check. Can you explain with a simple example, then I can solve this problem. This type is completely new to me

Answer 6

@HolsterEmission any idea? I cannot solve this

Answer 7

I'm not especially familiar with the notion of "order of convergence", but from what I've read elsewhere it refers to the number \(k\) such that
\[\lim_{n\to\infty}\frac{|x_{n+1}-L|}{|x_n-L|^k}=c\]for some non-zero \(c\), where \(\lim\limits_{n\to\infty}x_n=L\). Does this definition look familiar?

Answer 8

correct. In a similar way, if we denote e_n by the term x_n+1-L, then in terms of error, we can represent it

Answer 9

@Solomon Zelman
@Kainui

Answer 10

@imqwerty