Questions: Use the properties of limits to help decide whether each limit exists. If a limit exists, find its value. lim as x approaches infinity of (9x^2 + 2x) / (9x^2 - 5x + 1) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. lim as x approaches infinity of (9x^2 + 2x) / (9x^2 - 5x + 1) = □ (Simplify your answer. Type an integer or a fraction.) B. The limit does not exist and is neither infinity nor -infinity.
Transcript text: Use the properties of limits to help decide whether each limit exists. If a limit exists, find its value.
\[
\lim _{x \rightarrow \infty} \frac{9 x^{2}+2 x}{9 x^{2}-5 x+1}
\]
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. $\lim _{x \rightarrow \infty} \frac{9 x^{2}+2 x}{9 x^{2}-5 x+1}=$ $\square$
(Simplify your answer. Type an integer or a fraction.)
B. The limit does not exist and is neither $\infty$ nor $-\infty$.
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