Question

Question 11, include answer in bold, thanks! I’m at work right now so finish it and I’ll look at it later tonight thanks again

Answer 1

For solving this question is necessary to apply the Infinity Property for

`f(x)=5x^5-7x^3+27`

`\begin{gathered} \lim _(x\to-\infty)\mleft(ax^n+\cdots+bx+c\mright)=-\infty,\: a>0,\: \mathrm{n\: is\: odd} \\ In\text{ your question a=5 and n=5} \\ \lim _(x\to\: -\infty\: )\mleft(5x^5-7x^3+27\mright)=-\infty \end{gathered}`

`\begin{gathered} \lim _(x\to\infty)\mleft(ax^n+\cdots+bx+c\mright)=\infty,\: a>0,\: \mathrm{n\: is\: odd} \\ In\text{ your question a=5 and n=5} \\ \lim _(x\to\infty\: )\mleft(5x^5-7x^3+27\mright)=\infty\: \end{gathered}`

Therefore, the answer will be the second option