Matematika

Pertanyaan

lim X➡2 X²-3x+2 / √2x+5 - √x+7=

1 Jawaban

  • Lim x² - 3x + 2 / √2x + 5 - √x + 7
    x→2

    Lim (x² - 3x + 2)(√2x + 5 + √x + 7)
    x→2 / (2x + 5 - (x + 7))

    Lim (x - 2)(x - 1)(√2x + 5 + √x + 7) / (x - 2)
    x→2

    Lim (x - 1)(√2x + 5 + √x + 7)
    x→2

    = (2 - 1)(√2(2) + 5 + √2 + 7)

    = ( 1 ) (√4+5 + √9)

    = √9 + √9

    = 3 + 3

    = 6

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