Matematika

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  • Lim (1 - x)/(2 - √(x^2 + 3))
    x=>1

    Lim (1 - x)/(2 - √(x^2 + 3)) . (2 + √(x^2 + 3))/(2 + √(x^2 + 3))
    x=>1

    Lim (1 - x)(2 + √(x^2 + 3)) / (4 - (x^2 + 3))
    x=>1

    Lim (1 - x)(2 + √(x^2 + 3)) / (1 - x^2)
    x=>1

    Lim (1 - x)(2 + √(x^2 + 3)) / (1 - x)(1 + x)
    x=>1

    Lim (2 + √(x^2 + 3)) / (1 + x)
    x=> 1

    = (2 + √(1^2 + 3)) / (1 + 1)
    = (2 + √4) / 2
    = 4/2
    = 2

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