Evaluate
Choose
a
function
f
so
that
the
limit
exists
at
x
=
a
.
Looking
for
a
two

sided
limit
zoom
Definition
:
L
The
number
L
is
the
limit
of
f
as
x
approaches
a
,
if
and
only
if
for
all
ϵ
>
0
,
ϵ
there
is
a
δ
>
0
δ
such
that
if
0
<

x

a

<
δ
,
x
then

f
(
x
)

L

<
ϵ
.
Did
you
succeed
in
finding
an
appropriate
δ
>
0
for
all
ϵ
>
0
for
your
choosen
L
?
L
ϵ
ϵ
f
(
x
)
a
δ
δ
x