Answer :

[tex]\begin{gathered} f(x)=-3x^5+x^3-6x^2+9 \\ \text{Let's take the limits} \\ \lim _{x\to-\infty}f(x)=\lim _{x\to\infty}-3x^5=(-3)(-\infty)=\infty \end{gathered}[/tex][tex]\lim _{x\to\infty}-3x^5=(-3)(\infty)=-\infty[/tex]

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