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(Solved): Find the limit  Find the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim ...



Find the limit 

Find the limit, if it exists. (If an answer does not exist, enter DNE.)
\[
\lim _{x \rightarrow-\infty} \frac{6 x^{2}}{x+4}
\
Find the limit, if it exists. (If an answer does not exist, enter DNE.)
\[
\lim _{x \rightarrow-\infty} \frac{3 x}{\sqrt{x^{2
Find the limit, if it exists. (If an answer does not exist, enter DNE.
\[
\lim _{x \rightarrow \infty} \frac{\sin (8 x)}{x}
\
Find the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarrow-\infty} \frac{6 x^{2}}{x+4} \] Find the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarrow-\infty} \frac{3 x}{\sqrt{x^{2}-x}} \] [-/6.25 Points] LARCALC12 3.5.031. Find the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarrow \infty} \frac{x+4}{\left(x^{2}+9\right)^{1 / 3}} \] Find the limit, if it exists. (If an answer does not exist, enter DNE. \[ \lim _{x \rightarrow \infty} \frac{\sin (8 x)}{x} \] [-/6.25 Points] LARCALC12 3.5.036. Find the limit, if it exists. (If an answer does not exist, enter DNE.) \[ \lim _{x \rightarrow \infty} \frac{9 x-\cos (x)}{x} \]


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SOLUTION Given, limx???6x2x+4=6limx???x2x+4 Since x2 grows asymptotically faster than x+4 as x approaches ??, limx???x2x+4=±? Additionally x2>0andx+4<
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