Mathematics, 01.09.2021 23:40 holasoykawaii10
Let f be the function defined by f(x)=((ax2+bx+2)/(2x2-8)), where a and b are constants. The graph of f has a horizontal asymptote at y=3, and a removable discontinuity at x=2.
1) Given the above information, find the values of a and b. (Show work)
2) Find limit as x approaches 2 of f(x). (Show work)
3) At what values of x does f have a discontinuity due to a vertical asymptote? Show the behaviour on the left and right side of this asymptote using limits.
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