Matematika

Pertanyaan

tentukan nilai lim → 2 x-2/3-√x²+5 = ....
tentukan nilai lim → 1 1-x/2-√x+3 = .....

tolongin yaaa

1 Jawaban

  • Pertanyaan pertama:
    lim →2 (x-2)/(3-√x²+5)
    =lim →2
    =(x-2)/(3-√x²+5) x (3+√x²+5)/(3+√x²+5)
    =(x-2) (3+√x²+5) / 9-(x²+5)
    =(x-2) (3+√x²+5) / 9-x²-5
    =(2-2) (3+√2²+5) / 9-2²-5
    =(0) (3+4+5) /9-4-5
    =(0) (12)/0
    =0/0
    =0
    Pertanyaan kedua:
    lim (1 - x)(2 + √x+3)/(4 - (x + 3))
    x->1
    = lim (1 - x)(2 + √x+3)/(1 - x)
    x->1
    = lim (2 + √x+3)
    x->1
    = 2 + √4
    = 4
    Semoga membantu^^

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