lim x menuju 4 =3-√x²-7/x²-2x-8 Limit x menuju 4 mohon dibantu ya,thanks

Kelas 11 Matematika
Bab Limit

lim ((3 - √(x² - 7))/(x² - 2x - 8))
x→4

= lim ((3 - √(x² - 7))/((x - 4) (x + 2)) . ((3 + √(x² - 7))/(3 + √(x² - 7))
..x→4

= lim (3² - √(x² - 7)²)/((x - 4) (x + 2) (3 + √(x² - 7)))
..x→4

= lim (9 - x² + 7)/((4 - x) (-x - 2) (3 + √(x² - 7)))
..x→4

= lim (16 - x²) /((4 - x) (-x - 2) (3 + √(x² - 7)))
..x→4

= lim ((4 + x) (4 - x)/((4 - x) (-x - 2) (3 + √(x² - 7))
..x→4

= (4 + 4)/(-4 - 2) (3 + √(4² - 7))
= 8/(-6 . (3 + √(16 - 7)))
= - 4/(3 (3 + √9))
= -4/(3 (3 + 3))
= -4/(3 . 6)
= -2/9