Problem 4. The following four methods are proposed to compute 71/5, Rank them in order, based on their apparent speed of convergence, assuming Po = 1. (a) (c) Pn= 1/4 7 (-)" Pn 1 PnPn-1- P-1-7 5p4-1 (b) PnPn-1 (d) Pn=Pn-1 Ph-1-7 P₁-1 Ph-1-7 12

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 4.
The following four methods are proposed to compute 71/5. Rank them in order, based on their apparent
speed of convergence, assuming Po = 1.
(a)
(c)
1/4
(-)"
PnPn-1-
5
P-1-7
5p₁-1
(b)
(d)
Pn=Pn-1
Pn=Pn-1-
P₁–1–7
Pn-1
p-1-7
Transcribed Image Text:Problem 4. The following four methods are proposed to compute 71/5. Rank them in order, based on their apparent speed of convergence, assuming Po = 1. (a) (c) 1/4 (-)" PnPn-1- 5 P-1-7 5p₁-1 (b) (d) Pn=Pn-1 Pn=Pn-1- P₁–1–7 Pn-1 p-1-7
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