Matematika

Pertanyaan

Please di bantu jawab ya.

1. lim (3x + 2) = ......
x —› 2

2. Nilai lim 2x/x+2 = ....
x —› 0

3. Diketahui lim f (x) = 2 dan lim g (x) = -1. Nilai dari lim ( f² (x) - g² (x)) = ....
x —› 5

4. Nilai dari lim ( 3x ) /√9+x - √9-x)) =
x —› 0

5. Nilai lim x² - 2x - 8/3x - 12 = .....
x —› 4

2 Jawaban

  • setau saya gitu.

    no 3 sm 4 skip ya. lupa caranya wkwk
    Gambar lampiran jawaban nunwinaw
  • 1) Lim (3x + 2) = 3(2) + 2 = 8
    2) Lim (2x)/(x + 2) = 2(0) / (0 + 2) = 0/2 = 0
    3) Lim (f^2(x) - g^2(x) = 2^2 - (-1)^2 = 4 - 1 = 3
    4) Lim (3x)/(√(9 + x) - √(9 - x)) . (√(9 + x) + √(9 - x))/(√(9 + x) + √(9 - x))
    = Lim 3x (√(9 + x) + √(9 - x)) / ((9 + x) - (9 - x))
    = Lim 3x (√(9 + x) + √(9 - x)) / 2x
    = Lim 3/2 . (√(9 + x) + √(9 - x))
    = 3/2 (√(9 + 0) + √(9 - 0)
    = 3/2 (3 + 3)
    = 3/2 . 6
    = 9
    5) Lim (x^2 - 2x - 8)/(3x - 12)
    = Lim (x - 4)(x + 2)/3(x - 4)
    = Lim (x + 2)/3
    = (4 + 2)/3
    = 6/3
    = 2

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