Minggu, 16 Februari 2014

Tugas XI IPS 2

Selesaikan sifat berikut dengan menggunakan sifat - sifat (kesimpulan) dari yang telah di pelajari
1. lim       (x - 2)(3x + 1)2 
    x -> ∞  (x + 1)(x2 + 5)
2. lim        akar (4x2 – 2x + 3)
    x -> ∞                 2x + 5
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9 komentar:

  1. Unknown17 Februari 2014 pukul 18.42

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  2. Anonim17 Februari 2014 pukul 18.45

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  3. Unknown17 Februari 2014 pukul 18.54

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  4. Unknown17 Februari 2014 pukul 18.58

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  5. Unknown17 Februari 2014 pukul 19.01

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  6. Unknown17 Februari 2014 pukul 19.04

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  7. Unknown17 Februari 2014 pukul 19.10

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  8. Unknown17 Februari 2014 pukul 19.16

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus
  9. Anonim17 Februari 2014 pukul 19.28

    Jawaban:
    1.lim/(x→∞)=((x-2) (3x+1)^2)/((x+1)(x^2+5))=(f(x))/(g(x))=((x-2)(9x^2+6x+1))/((x+1)(x^2+5))
    (f(x))/(g(x))=(9x^3+6x^2+1x-18x^2-12x-2)/(x^3+5x+1x^2+5)
    F(x)=(9x^3-12x^2-11x-2)/(x^3+5x+1x^2+5)=9/1=9
    Jadi (f(x))/(g(x))=(9x^3)/x^3 =(telah memenuhi sifat yg pertama)

    2.lim/(x→∞) (akar 4x^2-2x+3)/(2x+5)=(akar 4x^2-2x+3)/(x/((2x+5)/x))
    lim/(x→∞)=(4x^2-2x+3)/((akar x^2)/(2x+ 5/x))
    =(akar 4x^2-2x+3)/(x^2/(2+5/x))=(akar 4-(2+3/x)/x)/(2x 5/x)
    =(2-(2+3/x)/(x ))/(2+5/x)
    =(2-0+0)/(2+0)=2/2=1
    Jadi (f(x))/(g(x))=2/2 (telah memenuhi sifat pertama)

    BalasHapus

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