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8/19/2019 Kal 07 Limit Kontinuitas
1/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
TIF 4102calculus
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8/19/2019 Kal 07 Limit Kontinuitas
2/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
f ( x
) = x
lim x 0 f (
x
) =?f (0 ) =?lim
x 5 f ( x ) =?f (5 ) =?
kontinyupada 0
pada 5
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8/19/2019 Kal 07 Limit Kontinuitas
3/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
f ( x ) =1
x – 2
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8/19/2019 Kal 07 Limit Kontinuitas
4/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
f ( x )
x
f (2 )
f ( x ) = 1 x – 2
= undefined
2
?
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8/19/2019 Kal 07 Limit Kontinuitas
5/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
f ( x )
x
lim x 2 –
f ( x )
lim x 2 +
f ( x ) = ∞
= - ∞
f ( x ) = 1 x – 2
lim x 2
f ( x )
= undefined
2
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8/19/2019 Kal 07 Limit Kontinuitas
6/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
f ( x ) = x - 3
| x - 3 |
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8/19/2019 Kal 07 Limit Kontinuitas
7/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
f ( x )
x
lim x 3 –
f ( x )
lim x 3 +
f ( x ) = 1
= - 1
f ( x ) = x
- 3| x - 3 |
lim x 0
f ( x )
= undefined
1
-13
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8/19/2019 Kal 07 Limit Kontinuitas
8/10
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8/19/2019 Kal 07 Limit Kontinuitas
9/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
2
2
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8/19/2019 Kal 07 Limit Kontinuitas
10/10
Wibisono Sukmo Wardhono, ST, MT
http://wibiwardhono.lecture.ub.ac.id
“”
Continuous eloquence wearies.
ran!eur "ust #e a#an!one! to #ea$$reciate!. Continuit% in
e&er%t'in isun$leasant. Col! is a reea#le, t'at we"a% et
war"
laise Pascal
