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Problems
If
f
(
x
)
=
{
5
x
−
4
,
0
<
x
≤
1
4
x
3
−
3
x
,
1
<
x
<
2
f(x) = \begin{cases} 5x - 4, & 0 < x \le 1 \\ 4x^3 - 3x, & 1 < x < 2 \end{cases}
f
(
x
)
=
{
5
x
−
4
,
4
x
3
−
3
x
,
0
<
x
≤
1
1
<
x
<
2
, s…
Mathematics
Problem
If
f
(
x
)
=
{
5
x
−
4
,
0
<
x
≤
1
4
x
3
−
3
x
,
1
<
x
<
2
f(x) = \begin{cases} 5x - 4, & 0 < x \le 1 \\ 4x^3 - 3x, & 1 < x < 2 \end{cases}
f
(
x
)
=
{
5
x
−
4
,
4
x
3
−
3
x
,
0
<
x
≤
1
1
<
x
<
2
, show that
lim
x
→
1
f
(
x
)
\lim_{x \to 1} f(x)
lim
x
→
1
f
(
x
)
exists.
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