The graph below is the function
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
1
2
3
4
5
-1
-2
-3
-4
-5
1
2
3
4
5
-1
-2
-3
-4
-5
Determine which one of the following rules for continuity is
first
violated at
a
=
−
1
\displaystyle {a}=-{1}
a
=
−
1
.
f
(
a
)
\displaystyle {f{{\left({a}\right)}}}
f
(
a
)
is defined.
lim
x
→
a
f
(
x
)
\displaystyle \lim_{{{x}\to{a}}}\ {f{{\left({x}\right)}}}
x
→
a
lim
f
(
x
)
exists.
lim
x
→
a
f
(
x
)
=
f
(
a
)
\displaystyle \lim_{{{x}\to{a}}}\ {f{{\left({x}\right)}}}={f{{\left({a}\right)}}}
x
→
a
lim
f
(
x
)
=
f
(
a
)
.
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