Matematika

Pertanyaan

1. nilai x mendekati 0 x^3+10x^2-6x/x^2+2x =
2. hasil lim mendekati 1 x-1/1-akar x
3. nilai lim mendekati 1 2x-2/akar x+3 - 2

mohon bantuannya ^^

1 Jawaban

  • 1.
    Lim x³+10x²-6x / x²-2x
    x→0
    Lim x(x²+10x-6) / x(x-2)
    x→0

    Lim x²+10x-6 / x-2
    x→0
    0²+10(0)-6 / 0-2
    -6/-2
    3

    2.
    Lim x-1 / 1-√x
    x→1
    Lim (√x + 1)(√x - 1) / -(√x - 1)
    x→1
    Lim (√x + 1) / -1
    x→1

    √1 + 1 / -1
    1+1 / -1
    -2

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