Matematika

Pertanyaan

soal limit tolong bantu ya
soal limit tolong bantu ya

1 Jawaban

  • limit bentuk 0/0

    9. lim(x->3)  (9-x²) / {4 -√(x²+7)} ...kali akar sekawan
    = (9-x²)(4 + √(x² +7)) / {16 -(x² +7)}
    = (9-x²)(4 + √(x²+7)) / (9-x²)
    = 4 + √(x²+7)
    x = 3  ,limit = 4 + √(9+7)
    limit = 4 +√16
    limit = 4 + 4 = 8


    18. lim (x->0) (1 - cos 2x)/(1 - cos 4x)
    = lim(x->0) ( 1 -{ 1 - 2 sin² x) / (1 - { 1 - 2 sin² 2x)}
    = lim(x->0)   ( 2 sin² x)/ (2 sin² 2x)
    = 2(x)² / 2(2x)²
    = 2 x² / 8x²
    = 2/8
    =1/4