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Real exponential function/Continuity and image/Fact
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The
real exponential function
R
⟶
R
,
x
⟼
exp
x
,
{\displaystyle \mathbb {R} \longrightarrow \mathbb {R} ,x\longmapsto \exp x,}
is
continuous
and defines a bijection between
R
{\displaystyle {}\mathbb {R} }
and
R
+
{\displaystyle {}\mathbb {R} _{+}}
.
Proof
,
Write another proof