1.

The iteration formula to find the reciprocal of a given number N by Newton’s method is

A. \({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}}\left( {2 - {\rm{N}}{{\rm{x}}_{\rm{i}}}} \right)\)
B. \({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}} - {\rm{Nx}}_{\rm{i}}^2\)
C. \({{\rm{x}}_{{\rm{i}} + 1}} = 2 - {\rm{N}}{{\rm{x}}_{\rm{i}}}\)
D. \({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}}\left( {2 + {\rm{N}}{{\rm{x}}_{\rm{i}}}} \right)\)
Answer» B. \({{\rm{x}}_{{\rm{i}} + 1}} = {{\rm{x}}_{\rm{i}}} - {\rm{Nx}}_{\rm{i}}^2\)


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