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calculus

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what happens when Limit as x approaches infinity

A) (sqrt(9+10x^2))/(7+9x)

  • calculus -

    Use l'hôpital's rule or
    divide top and bottom by x and take limits:
    Lim (sqrt(9+10x^2)/x) / ((7+9x)/x)
    x->∞
    =Lim sqrt(9/x^2+10) / (7/x + 9)
    x->∞
    =sqrt(10)/9

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