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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
+
1
,
x
≠
2
5
,
x
=
2
f(x)=\begin{cases} x^{2}+1, & x\neq 2\\ 5, & x=2 \end{cases}
f
(
x
)
=
{
x
2
+
1
,
5
,
x
=
2
x
=
2
. Which of the following statements about
lim
x
→
2
f
(
x
)
\displaystyle\lim_{x\to 2} f(x)
x
→
2
lim
f
(
x
)
is correct? a) The limit exists and equals
4
4
4
. b) The limit exists and equals
2
2
2
. c) The limit exists and equals
5
5
5
. d) The limit does not exist.
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