The graph below is the function
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
Select all statements below that you agree with.
Note: You may be checking more than one box. No partial credit.
f
(
2
)
\displaystyle {f{{\left({2}\right)}}}
f
(
2
)
is defined.
lim
x
→
2
f
(
x
)
\displaystyle \lim_{{{x}\to{2}}}\ \ {f{{\left({x}\right)}}}
x
→
2
lim
f
(
x
)
exists.
lim
x
→
2
f
(
x
)
=
f
(
2
)
\displaystyle \lim_{{{x}\to{2}}}\ \ {f{{\left({x}\right)}}}={f{{\left({2}\right)}}}
x
→
2
lim
f
(
x
)
=
f
(
2
)
.
The function is continuous at x = 2.
The function is not continuous at x = 2.
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