Matematika

Pertanyaan

pak bu tolong d bantu ini jawabanne gimana
pak bu tolong d bantu ini jawabanne gimana

1 Jawaban

  • kalikan dengan akar sekawan,
    => (x - 4) × (5 + √(x^2+9)/(5-√(x^2+9)(5+√(x^2+9)
    => (x -4)×(5+√(x^2+9) / { 25-(x^2+9) }
    => (x-4)×(5+√(x^2+9) /(25-x^2-9)
    => (x-4)×(5+√(x^2+9) /(16 -x^2)
    => (x-4)×(5+√(x^2+9)/ -(x^2-16)
    => (x-4)×(5+√(x^2+9) / -(x-4)(x+4)
    => -(√(x^2+9) / (x +4)
    lim x ->4 = -(√(x^2+9)/( x +4)
    = - (√(4^2+9) / (4+4)
    = - √25/8
    = -5/8