The following code implements Newton's algorithm for finding the square root of a number using repetition:

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
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In Python

Recursion assignment

The following code implements Newton's algorithm for
finding the square root of a number using repetition:
n
17
# we want the square root of 17
for example
g = 4
# our guess is 4 initially
error
0.0000000001
# we want to stop when we
are this
||
close
while abs (n
(g**2)) >
error:
( (g**2 - n)/(2
g))
# g holds the square root of n at this point
Implement this algorithm in a function sqRoot (n, g, e),
that returns the square root using recursion.
Assume that the function will be called with positive
numbers only.
Transcribed Image Text:The following code implements Newton's algorithm for finding the square root of a number using repetition: n 17 # we want the square root of 17 for example g = 4 # our guess is 4 initially error 0.0000000001 # we want to stop when we are this || close while abs (n (g**2)) > error: ( (g**2 - n)/(2 g)) # g holds the square root of n at this point Implement this algorithm in a function sqRoot (n, g, e), that returns the square root using recursion. Assume that the function will be called with positive numbers only.
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