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Continuous function/R/Rational in modulus/1/Exercise
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Show that the function
f
:
R
⟶
R
,
x
⟼
2
x
7
−
3
x
|
6
x
3
−
11
|
|
3
x
−
5
|
+
|
4
x
3
−
5
x
+
1
|
,
{\displaystyle f\colon \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto {\frac {2x^{7}-3x\vert {6x^{3}-11}\vert }{\vert {3x-5}\vert +\vert {4x^{3}-5x+1}\vert }},}
is
continuous
.
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