The following four methods are expected to compute 211/3. Assuming po = 1, 1. Rank them in order analytically, based on their apparent speed of convergence. 2. Write a Python program to show convergence of each method providing step-by-ste output. 20pn-1+ 21/p-1 Pn = (a 21 Pn-1- 21 3pn-1 Pn = Pn-1 Pn-1 - 21pn-1 Pn = Pn-1 (c Pn-1 - 21 21 Pn = Pn-1

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The following four methods are expected to compute 21/3. Assuming po = 1,
1. Rank them in order analytically, based on their apparent speed of convergence.
2. Write a Python program to show convergence of each method providing step-by-step
output.
20pn-1+ 21/p-1
Pn =
(a)
21
3
Pn-1
3pn-1
21
Pn = Pn-1
(b)
Pn-1 - 21pn-1
Pn = Pn-1
(c)
Pn-1 - 21
21
-)1/2
Pn-1
Pn =
(d)
Transcribed Image Text:The following four methods are expected to compute 21/3. Assuming po = 1, 1. Rank them in order analytically, based on their apparent speed of convergence. 2. Write a Python program to show convergence of each method providing step-by-step output. 20pn-1+ 21/p-1 Pn = (a) 21 3 Pn-1 3pn-1 21 Pn = Pn-1 (b) Pn-1 - 21pn-1 Pn = Pn-1 (c) Pn-1 - 21 21 -)1/2 Pn-1 Pn = (d)
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