Q. The value of $\lim_{x \rightarrow \infty}\left( \frac{x^{2} + bx + 4}{x^{2} + ax + 5} \right)$ is
A) $\frac{b}{a}$
B) 0
C) 1
D) $\frac{4}{5}$
Explanation
(c)
$\lim_{x \rightarrow \infty}\left( \frac{x^{2} + bx + 4}{x^{2} + ax + 5} \right) = \lim_{x \rightarrow \infty}{\frac{\left( 1 + \frac{b}{x} + \frac{4}{x^{2}} \right)x^{2}}{\left( 1 + \frac{a}{x} + \frac{5}{x^{2}} \right)x^{2}} = 1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.