Bantu Jawab Pakai Cara Guys no 10 Dan 9

9.

Lim x - √2x + 3 / x² - 9
x→3

Lim x - √2x + 3 (x + √2x + 3)
x→3 .. / (x² - 9)(x + √2x + 3)

Lim x² - (2x + 3)
x→3 .. / (x² - 9)(x + √2x + 3)

Lim x² - 2x - 3
x→3 .. / (x² - 9)(x + √2x + 3)

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

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

= 3 + 1 / (3 + 3)(3 + √2(3) + 3)

= 4 / 6 (3 + √9)

= 2 / 3 (3 + 3)

= 2 / 3 (6)

= 1 / 3 (3)

= 1/9

10.

Lim √x² + 3 - x - 1 / 1 - x²
x→1

Lim √x² + 3 - (x + 1) / 1 - x²
x→1

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

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

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

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

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

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

Lim 2 / (1 + x)(√x² + 3 + (x + )
x→1

= 2 / (1 + 1)(√1² + 3 + (1 + 1)

= 2 / √4 + 2

= 2 / 2 + 2

= 2/4

= 1/2