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A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9.

Find f(0) and lim x-> infinity of F(x)

  • Calc -

    Looks like the function has (x-5) in the denominator, but not the numerator.


    It has (x-1) both top and bottom, because it's otherwise continuous there.


    x=2 when y=0


    limit is -1/9 at x=1


    f(0) = -8/45
    as x gets large, f(x) approaches -4/9

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