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Power function/Positive base/Real exponent/Continuous/Exercise
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Let
u
∈
R
{\displaystyle {}u\in \mathbb {R} }
. Show that the power function
f
:
R
+
⟶
R
,
x
⟼
x
u
,
{\displaystyle f\colon \mathbb {R} _{+}\longrightarrow \mathbb {R} ,x\longmapsto x^{u},}
is
continuous
.
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