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(Solved): Let f(x)={(\sqrt(x^(6)-3x^(3)+2)-\sqrt(x^(6)-x^(3)+3),x<=0),((\sqrt(x^(6)+3x^(4)+2))/(x^(2)+2x), ...



Let

f(x)={(\sqrt(x^(6)-3x^(3)+2)-\sqrt(x^(6)-x^(3)+3),x<=0),((\sqrt(x^(6)+3x^(4)+2))/(x^(2)+2x),x>0):}

(a) Find the vertical asymptote(s), if any, for

y=f(x)

. Justify your answer. (b) Find the horizontal asymptote(s), if it exists, for

y=f(x)

. Justify your answer.

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