calculus

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evaluate lim x aproches -1
x^2+6x+5/x^2-3x-4

  • calculus -

    lim (x^2 + 6x + 5)/(x^2 - 3x - 4) as x-> -1
    Not that we can factor both numerator & denominator,
    lim (x+5)(x+1) / (x-4)(x+1)
    We can thus cancel the x+1, leaving
    lim (x + 5)/(x - 4) as x-> -1
    Substituting x = -1,
    = (-1 + 5) / (-1 - 4)
    = 4 / -5
    = -4/5

    Hope this helps~ :3

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