Find the limit (if it exists). $\lim _ { x \rightarrow \infty } \left( \frac { 9 x ^ { 2 } - 1 } { 5 x ^ { 2 } - 5 } \right)$
A) $\frac { 5 } { 9 }$
B) $\frac { 9 } { 5 }$
C) $- \frac { 5 } { 9 }$
D) $- \frac { 9 } { 5 }$
E)does not exist

Question

Find the limit (if it exists).  $\lim _ { x \rightarrow \infty } \left( \frac { 9 x ^ { 2 } - 1 } { 5 x ^ { 2 } - 5 } \right)$ 
A) $\frac { 5 } { 9 }$
B) $\frac { 9 } { 5 }$
C) $- \frac { 5 } { 9 }$
D) $- \frac { 9 } { 5 }$
E)does not exist

Quizplus · Accepted Answer

To find the limit as $x$ approaches infinity for the given function, divide every term by $x^2$, the highest power of $x$ in the expression. This simplifies to $\lim _ { x \rightarrow \infty } \left( \frac { 9 - \frac{1}{x^2} } { 5 - \frac{5}{x^2} } \right)$, which approaches $\frac{9}{5}$ as $x$ goes to infinity.

Find the Limit (If It Exists) lim⁡x→∞(9x2−15x2−5)\lim _ { x \rightarrow \infty } \left( \frac { 9 x ^ { 2 } - 1 } { 5 x ^ { 2 } - 5 } \right)limx→∞​(5x2−59x2−1​)

Find the Limit (If It Exists) $\lim _ { x \rightarrow \infty } \left( \frac { 9 x ^ { 2 } - 1 } { 5 x ^ { 2 } - 5 } \right)$