Limit Fungsi Vektor

LIMIT FUNGSI VEKTOR

M. Lutfi Wijaya 1002562Nabila Khalida S 1004536Ishma Fadlina U 1005324Ogi Jayaprana 1006667

Limit Fungsi Vektor

Agar limit fungsi vektor X=F(t) untuk tmendekati a dapat dibahas, di sekitar a harusterdapat tak terhingga banyaknya titik dari Df ;untuk ini kita mengambil Df selang terbuka D yangmemuat a, kecuali mungkin di a sendiri. Situasiyang terjadi adalah jarak F(t) ke suatu vektor tetapL dapat dibuat sebarang dekat dengan caramembuat jarak t ke a cukup dekat. Jarak dua vektoryang digunakan adalah seperti yang didefinisikan diatas sedangkan untuk jarak t ke a di R kitapergunakan nilai mutlak. Dari situasi ini diperolehkonsep limit fungsi vektor berikut.

Definisi 1.2.1

Teorema 1.2.1

Teorema 1.2.2

Teorema 1.2.3

Diskusi - 1 - a

Diskusi - 1 - b

Diskusi - 1 - c

Perhatikan persoalan bagian b. Apa yang dapatanda duga untuk mencari limit dari suatu fungsitanpa menggunakan definisi?Jawab:Kita bisa menduga suatu nilai limit dengan memasukkan titik limit yang dituju ke fungsinya, sehingga hasil yang didapat adalah nilai yang mendekati.

Diskusi - 2 - a

Diskusi - 2 - b

Diskusi - 2 - b

The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - a

Diskusi - 3 - aThe image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - bThe image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - b

The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - c

The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - dThe image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - d

The image cannot be displayed. Your computer may not have enough memory to open the image, or the image may have been corrupted. Restart your computer, and then open the file again. If the red x still appears, you may have to delete the image and then insert it again.

Diskusi - 3 - e

Diskusi - 3 - f

Diskusi - 4 - a

Diskusi - 4 - b

TERIMAKASIH!