matematika wajib kelas 11 :')

semoga bener, yg nomor 4 coba sendiri dulu

Materi : Limit Fungsi
Kelas : XI

1.) Lim x → 1 2(x+3)² / x² + 8x + 15
= 2(x+3)(x+3) / x² + 8x + 15
= 2(x²+6x+9) / x² + 8x + 15
= 2x² + 12x + 18 / x² + 8x + 15
= 2(1)² + 12(1) + 18 / (1)² + 8(1) + 15
= 2(1) + 12 + 18 / 1 + 8 + 15
= 32 / 24
= 4 / 3

2.) Lim x → 0 x³ + 2x² - 5x / x² + 2x
= 3x² + 4x - 5 / 2x + 2
= 3(0)² + 4(0) - 5 / 2(0) + 2
= 0 + 0 - 5 / 0 + 2
= -5 / 2

3.) Lim x → 3 x³ - 27 / x² - 9
= 3x² / 2x
= 3(3)² / 2(3)
= 3(9) / 6
= 27 / 6
= 9 / 2

4.) Lim x → 8 x - 8 / ³√x-2
= (8) - 8 / ³√(8)-2
= 0 / ³√6
= 0

Semoga membantu..