Selesaikanlah Soal No.53 Berikut pakai Cara

Lim (3x - 2) - √9x² - 2x + 5
x→~

Lim (3x - 2)² - (9x² - 2x + 5)²
x→~ .. / (3x - 2) + √9x² - 2x + 5

Lim 9x² - 12x + 4 - 9x² + 2x - 5
x→~ .. / (3x + 2) + √9x² - 2x - 5

Lim -10x - 1
x→~ .. / x(3 + 2/x) + (√x²(9 - 2/x - 5/x²)

Lim x(-10 - 1/x)
x→~ .. / x (3 + 2/x) + x√9 - 2/x - 5/x²

Lim (-10 - 1/x) / (3 + 2/x) + √9 - 2/x - 5/x²
x→~

= -10 - 0 / 3 + 0 + √9 - 0 - 0

= -10 / 3 + √9

= -10 / 3 + 3

= -10 / 6

= -5/3