Analisis Real 1_03

  • June 2020
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Nama : Nur Hamidah (107017002896) Ihyani Toyibah (107017000770) Siti Khodroh T (107017001101) Lema 1.2.1

1. Misal

2. Misal

3. Misal

4. Misal

5. Misal

Lema 1.2.2 jika Contoh-contoh : 1.

2.

3.

4.

5.

Lema 1.2.3

Teorema 1.4.1 (sifat Archimedes) dan 1. Misal

Terdapat

,

,

Sehingga 4.3 > 2

terdapat

, sehingga

12 > 2 (terbukti) 2. Misal

,

Terdapat

,

Sehingga 2.5 > 3 10 > 3 (terbukti) 3. Misal

,

Terdapat

,

Sehingga 7.1 > 4 7 > 4 (terbukti) 4. Misal

,

Terdapat

,

Sehingga 1.9 > 8 9 > 8 (terbukti) 5. Misal

,

Terdapat

,

Sehingga 3.3 > 7 9 > 7 (terbukti)

Teorema 1.4.2

1.

Misal

2.

Misal

3.

Misal

4.

Misal

5.

Misal

Teorema 1.4.3 1. Misal a = 2 n=3

= 1,25992105 terbukti 2. Misal a = 5 n=3

= 1,709975 terbukti 3. Misal a = 7 n=2

= 1,912931 terbukti 4. Misal a = 11 n=2

= 3,31662479 terbukti 5. Misal a = 4 n=3

= 1,587401052 terbukti

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