matematika bisnis 2
TRANSCRIPT
![Page 1: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/1.jpg)
DEDY RIYANTO, SE, M.KOMSTIE PERTIWI
MATEMATIKA BISNIS 2
![Page 2: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/2.jpg)
MATERI
LIMIT DAN KESINAMBUNGAN FUNGSIDIFFERENSIAL FUNGSI SEDERHANADIFFERENSIAL FUNGSI MAJEMUKINTEGRALMATRIKSPROGRAMASI LINIER
![Page 3: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/3.jpg)
1. PENGERTIAN LIMIT2. LIMIT SISI KIRI , L IMIT SISI KANAN3. KAIDAH-KAIDAH LIMIT4. PENYELESAIAN KASUS KHUSUS5. KESINAMBUNGAN
Limit dan Kesinambungan Fungsi
![Page 4: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/4.jpg)
Pengertian Limit
Limit menggambarkan seberapa jauh sebuah fungsi akan berkembang apabila variabel fungsi yang bersangkutan terus menerus berkembang mendekati nilai tertentu.
Dibaca Limit fungsi f(x) untuk x mendekati a adalah L.Artinya jika variabel x berkembang terus menerus
hingga mendekati bilangan tertentu a, maka nilai fungsi f(x) pun akan berkembang pula hingga mendekati L
![Page 5: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/5.jpg)
Pengertian Limit
Arti limit = mendekati, Contoh =
Fungsi tersebut tidak terdefinisi di x = 1 sebab di titik ini f(x) berbentuk Tetapi dapat diselidiki mengenai nilai f(x) di titik-titik yang dekat dengan 1 (x mendekati 1).
![Page 6: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/6.jpg)
Pengertian Limit
![Page 7: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/7.jpg)
Pengertian Limit
![Page 8: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/8.jpg)
Pengertian Limit
![Page 9: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/9.jpg)
Pengertian Limit
![Page 10: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/10.jpg)
Teorema Limit
![Page 11: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/11.jpg)
Teorema Limit
![Page 12: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/12.jpg)
Teorema Limit
![Page 13: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/13.jpg)
Teorema Limit
![Page 14: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/14.jpg)
Teorema Limit
![Page 15: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/15.jpg)
Teorema Limit
![Page 16: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/16.jpg)
Teorema Limit
![Page 17: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/17.jpg)
Limit Kiri dan Limit Kanan
![Page 18: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/18.jpg)
Limit Kiri dan Limit Kanan
![Page 19: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/19.jpg)
Limit Kiri dan Limit Kanan
![Page 20: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/20.jpg)
Limit Tak Hingga
![Page 21: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/21.jpg)
Limit Tak Hingga
∞ = bukanlah suatu bilangan. ∞ = limit tersebut tidak ada. Secara umum
nilai f(x) semakin besar ketika x mendekati c.
Limit serupa, untuk fungsi yang negatif tak berhingga ketika x mendekati c dituliskan dengan
![Page 22: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/22.jpg)
Limit Tak Hingga
![Page 23: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/23.jpg)
Kekontinuan Fungsi
Definisi a mengandung arti bahwa f dikatakan kontinu di c ∈ A jika dipenuhi ketiga syarat berikut:
![Page 24: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/24.jpg)
Kekontinuan Fungsi
![Page 25: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/25.jpg)
Kekontinuan Fungsi
![Page 26: Matematika bisnis 2](https://reader031.vdocuments.pub/reader031/viewer/2022012307/55b7f4d3bb61ebdd1b8b470d/html5/thumbnails/26.jpg)
Sekian