Limit

Sumber dari buku-buku matematika, salah satunya Matematika Terapan untuk Bisnis dan Ekonomi karangan Dumairy [dari halaman 180].  Berikut catatan kuliah matematika bisnis untuk pokok bahasan limit:

LIMIT

Lim x->0 f (x) = L

  • ~/~ = 1
  • ~/0 = ~
  • 0/~ = 0

Contoh:

  • Lim x->0 (1-2x²) = 1-2(-2)²
  •                                 = 1-8
  •                                 = 7
  • Lim x->+~ (1-2x²) = 1-2(~)²
  •                                    = +~
  • Lim x->-~ (1-2x²) = 1-2(-~)²
  •                                   = -~
  • Lim x->0 (1-2x²) = 1-2(0)²
  •                                 = 1-0
  •                                 = 1
  • Lim x->+~ (1-2/x²) = 1-2/(~)²
  •                                      = 1-0
  •                                      = 1

8 Kaidah-kaidah limit:

1.  Bila Y = f(x) & f(x) = x^n dan n>0 maka lim x->a x^n = a^n

Contoh: limit x->2 2x³ = 2×2³

… to be continued


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