Example 1:- Use Newton's Method to determine anapproximation to the
solution to cosx=x that lies in the interval [0,2][0,2]. Find the approximation
to six decimal places.
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Answer:
If
x
n
is an approximation a solution of
f
(
x
)
=
0
and if
f
′
(
x
n
)
≠
0
the next approximation is given by,
x
n
+
1
=
x
n
−
f
(
x
n
)
f
′
(
x
n
)
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