Show that the iteration converges to the limit a 1 3 Use the formula with a 157 and x 0 5 to compare x 1 and x 2 Show that the error n in the nth iterate is given by Hence estimate the error in x1 obtained above Xn 1 3 2x D 2 X n...

Assume xn an then which implies a a and a a 3 For a 157 and xo ...

Show that the iteration converges to the limit a 1/3 . Use the formula with a =

Question:

Show that the iteration

Xn+1 | 3 2x + D 2 X n

converges to the limit a^1/3. Use the formula with a = 157 and x₀ = 5 to compare x₁ and x₂.
Show that the error ε_n in the nth iterate is given by

Hence estimate the error in x1 obtained above.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 13, 2024 09:04 AM

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Show that the iteration converges to the limit a 1/3 . Use the formula with a =

Question:

Xn+1 | 3 2x + D 2 X n

Step by Step Answer:

Assume xn an then which implies a a and a a 3 For a 157 and xo ...View the full answer

Modern Engineering Mathematics

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