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