Question

Tolong ya master perlu

Answer 1

Verified answer

Kelas 11 Matematika
Bab Limit

Lim (√(2x -1) - √(3x + 5))
x→∞

= Lim (√(2x -1) - √(3x + 5)) . (√(2x -1) + √(3x + 5))/(√(2x -1) + √(3x + 5))
   x→∞

= Lim ((2x - 1) - (3x + 5) / (√(2x -1) + √(3x + 5))
   x→∞

= Lim (-x - 6)/(√(2x -1) + √(3x + 5))
   x→∞

= Lim (-x/x - 6/x) / (√((2x -1)/x²) + √((3x + 5)/x²))
   x→∞

= (-1 - 0) / (√0 + √0)
= -1/0
= -∞