Matematika

Pertanyaan

tolong di jawab dong kak
1) lim x mendekati 3 = √x+4 - √2x+1/ x-3.

1 Jawaban

  • Lim √x + 4 - √2x + 1 / x - 3
    x→3

    Lim x + 4 - (2x + 1)
    x→3 .. / (x - 3)(√x + 4)(√2x + 1)

    Lim x + 4 - 2x - 1
    x→3 .. / (x - 3)(√x + 4)(√2x + 1)

    Lim -x + 3
    x→3 .. / (x - 3)(√x + 4)(√2x + 1)

    Lim -(x - 3) / (x - 3)(√x + 4)(√2x + 1)
    x→3

    Lim -1 / (√x + 4)(√2x + 1)
    x→3

    = -1 / (√3 + 4)(√2(3) + 1)

    = -1 / (√7)(√6 + 1)

    = -1 / (√7)(√7)

    = -1/7

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