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Evaluate the limits lim x^3 + 3/ x->¤ 2x^3 + 4x + 1 lim 1 - cosx / x->o x^2

  • Math -

    Use l'Hôpitals rule:
    1.
    Lim (x->∞) (x³+3)/(2x³+4x+1)
    = Lim (x->∞) (3x²)/(6x²)
    = Lim (x->∞) (6x)/(12x)
    = Lim (x->∞) 1/2
    = 1/2

    Similarly for (1-cos(x))/(x²)
    = Lim (x->∞)

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