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Zero/x^3-4x+2/Zero/Eighth/Exercise
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We consider the function
f
:
R
⟶
R
,
x
⟼
x
3
−
4
x
+
2.
{\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto x^{3}-4x+2.}
Determine, starting with the interval
[
1
,
2
]
{\displaystyle {}[1,2]}
and using the bisection method, an interval of length
1
/
8
{\displaystyle {}1/8}
which contains a zero of
f
{\displaystyle {}f}
.
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