Let denote a
positive
real number.
Prove that the
exponential function
-
fulfills the following properties.
- We have
for all
.
- We have
.
- For
and
,
we have
.
- For
and
,
we have
.
- For
,
the function is
strictly increasing.
- For
,
the function is
strictly decreasing.
- We have
for all
.
- For
,
we have
.