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Mathematics
Mathematics
Problem
Consider the piecewise function
h
(
x
)
=
{
x
2
−
1
,
x
<
2
,
3
x
−
5
,
x
≥
2.
h(x)= \begin{cases} x^{2}-1, & x<2,\\ 3x-5, & x\ge 2. \end{cases}
h
(
x
)
=
{
x
2
−
1
,
3
x
−
5
,
x
<
2
,
x
≥
2.
Determine the magnitude of the jump (the absolute difference between the one-sided limits) at
x
=
2
x=2
x
=
2
. a)
3
3
3
b)
4
4
4
c)
2
2
2
d)
1
1
1
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