Prove that the sequence1.Xn+1 = In(n) 1 f(2,)F(2n) 2 f(r,)withan =anis cubically convergent to a root of f under some conditions.

Answered: Prove that the sequence 1 f(1n) j(zn) 2…

Prove that the sequence 1 f(1n) j(zn) 2 f(In) F(x,) ' f(r,) 1 with Xn+1 = n an = %3D an is cubically convergent to a root of f under some conditions.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.4: Graphs Of Logarithmic Functions

Problem 60SE: Prove the conjecture made in the previous exercise.

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Question

Prove that the sequence
1.
Xn+1 = In
(n) 1 f(2,)
F(2n) 2 f(r,)
with
an =
an
is cubically convergent to a root of f under some conditions.

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