Selesaikanlah Soal Matematika Berikut ini dengan Menggunakan penyelesaian

16.

Lim (x - 3)(√x + √3) / (√x - √3)
x→3

Lim (√x - √3)(√x + √3)(√x + √3) / (√x - √3)
x→3

Lim (√x + √3)(√x + √3)
x→3

Lim x + √3x + √3x + 3
x→3

Lim x + 2√3x + 3 
x→3 

= 3 + 2√3(3) + 3

= 3 + 2√9 + 3

= 3 + 6 + 3

= 12

17.

Lim x^3 - 8 / x² + x - 6
x→2

Lim (x - 2)(x² + 2x + 4) / (x - 2)(x + 3)
x→2

Lim (x² + 2x + 4) / x + 3
x→2

= 2² + 2(2) + 4 / 2 + 3

= 4 + 4 + 4 / 5

= 12 / 5

= 2 2/5

18.

Lim x - 1 / √x² + 3 - 2
x→1

Lim x - 1 (√x² + 3 + 2)
x→1 .. / (√x² + 3 + 2)(√x² + 3 - 2)

Lim (x - 1)(√x² + 3 + 2)
x→1 .. / x² + 3 - 4

Lim (x - 1)(√x² + 3 + 2) / (x² - 1)
x→1

Lim (x - 1)(√x² + 3 + 2) / (x - 1)(x + 1)
x→1

Lim (√x² + 3 + 2) / x + 1
x→1

= √1² + 3 + 2 / 1 + 1

= √4 + 2 / 2

= 2 + 2 / 2

= 4/2

= 2