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Mathematics
Problem
Let
f
(
x
)
=
5
x
+
1
f(x)=5x+1
f
(
x
)
=
5
x
+
1
and
ε
>
0
\varepsilon>0
ε
>
0
. Determine a value of
δ
>
0
\delta>0
δ
>
0
expressed in terms of
ε
\varepsilon
ε
such that if
0
<
∣
x
−
2
∣
<
δ
0<|x-2|<\delta
0
<
∣
x
−
2∣
<
δ
, then
∣
f
(
x
)
−
11
∣
<
ε
|f(x)-11|<\varepsilon
∣
f
(
x
)
−
11∣
<
ε
.
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