Matematika

Pertanyaan

1. Lim x mendekati 4 (3 + √x+5) =......
2. Lim x mendekati 1 √x - 1 / x^4 - x =......
Tolong dibantu ya soalnya mau dikumpul pakai Cara nya ya

1 Jawaban

  • LImit
    1.
    lim (x-> 4)  (3 + √(x+5)) =
    x = 4 --> lim = 3 + √(4+5) = 3 +√9 = 3 + 3  = 6

    2. lim(x->1)  (√x- 1) / (x⁴ -x)
    = lim (x->1)  (√x -1) / x(x³ -1)
    = lim(x->1)  (√x  -1) / (x-1)(x)x²+x +1)
    = lim(x->1)  (√x -1) /(√x +1)(√x-1)(x)(x²+x+1)
    = lim(x->1)  1/ {(√x  +1) (x) (x² +x + 1)
    x = 1 --> limit = 1 / (1+1)(1)(1+1+1) = 1/ (2)(1)(3)
    limit = 1/6

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