Find the limit.
-$$\lim _ { x \rightarrow \infty } \frac { - 7 x ^ { 2 } - 9 x + 2 } { - 13 x ^ { 2 } - 8 x + 3 }$$
A) $\infty$
B) $\frac { 7 } { 13 }$
C) $\frac { 2 } { 3 }$
D) 1

Question

Quizplus · Accepted Answer

Since the degree of the numerator and denominator are the same, the limit will be the ratio of the leading coefficients. So, the limit is $\frac{-7}{-13}=\frac{7}{13}$. Therefore, the correct choice is B.

Find the Limit lim⁡x→∞−7x2−9x+2−13x2−8x+3\lim _ { x \rightarrow \infty } \frac { - 7 x ^ { 2 } - 9 x + 2 } { - 13 x ^ { 2 } - 8 x + 3 }x→∞lim​−13x2−8x+3−7x2−9x+2​

Find the Limit $\lim _ { x \rightarrow \infty } \frac { - 7 x ^ { 2 } - 9 x + 2 } { - 13 x ^ { 2 } - 8 x + 3 }$