Assalamu’alaikum
description
Transcript of Assalamu’alaikum
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Assalamu’alaikum
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LIMIT FUNGSI
By:M. Adityo Hidayat A 410 090 015 Purna Yuda Mei W A 410 090 021
Luluk Nur Khoiriyah A 410 090 041
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LIMIT FUNGSIDEFINISI
ctitikanpersekitarcccana
CAc
jikaittitikdisebutc
RCRA
),()(dim
}{)(
0lim
,
contoh
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Teorema
.,,)(lim
,
cxcxAxAittitikc
cA
nnn
Ada buktinya lhow
Bukti
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Definisi
))(,0),()(0()(lim
:
)(:
0,
0),(
0
lim:
:
lim,
LxfcxxcVLxf
Ditulis
Lxfberlaku
cxXsetiapuntuk
sehinggacterdapat
setiapuntuksifatdenganLterdapatjika
cdiitmempunyaidikatakanffungsi
Af
AittitikcA
cx
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Teorema (Kriteria Barisan Untuk Limit)
Lxfknuntukakibatnya
cxberakibatknjika
sehinggaNkterdapatatasdiuntuk
cxcxAxsembarangDiambil
Lxf
cxxc
artinyaLxfDiketahui
Bukti
Lxf
cxcxAxLxfLim
n
n
nnn
cx
n
nnncx
)(:,
:,
,0
,,)(
)(
,()0),()(0(
,)(lim
)(
,,)()(
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)(.)(..
)(
,,)(
)(
1,,)(
,0
0.)(lim
.
ikontradiksLxfLKD
Lxftetapi
cxdancxAxbarisanterdapatJadi
Lxftetapin
cxAxNndemikianDenganLxftetapi
cxAx
berartiiniHalLxfAndaikan
n
On
nnn
On
nnO
ocx
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Kriteria Divergen
divergenxftetapi
cxcxAxadatidakxfb
Lxftetapi
cxcxAxLxfa
AittitikcdanAfADiberikan
n
nnncx
nnncx
)(
,;)()(lim.
)(
,;)()(lim.
lim:,
Contohnya ...
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Definisi
Axxg
xfx
h
fxh
Axxbfxbfb
Axxgxfxfg
xgxfxgf
AgfA
,)(
)())((,0)().3
),())((,).2
),().())((
)()())(().1
:,,
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Teorema Limit Fungsi
0,))((lim).4
))(.(lim).3
))((lim).2
,))((lim).1
,)(lim)(lim
lim
:,
MM
Lx
g
f
LMxgf
MLxgf
Lxf
makaMxfdanLxfJika
Aittitikc
Agf
cx
cx
cx
cx
cxcx
Lihat
Lihat
Lihat
Lihat
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Sekian dan Terima kasih
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Wassalamu’alaikum Wr. Wb