numerically estimate the value of lim(x→∞) (ax²)/(bx² + c), where a = 29.6 b = 5.1 c = 4.4 give your answer…

Explanation:

Step1: Divide numerator and denominator by $x^{2}$

When $x\to\infty$, we have $\lim_{x\to\infty}\frac{Ax^{2}}{Bx^{2}+C}=\lim_{x\to\infty}\frac{A}{B + \frac{C}{x^{2}}}$. As $x\to\infty$, $\frac{C}{x^{2}}\to0$.

Step2: Substitute the values of A and B

Substitute $A = 29.6$ and $B = 5.1$ into $\frac{A}{B+\frac{C}{x^{2}}}$. Since $\lim_{x\to\infty}\frac{C}{x^{2}} = 0$, the limit is $\frac{A}{B}=\frac{29.6}{5.1}$.

Step3: Calculate the result

$\frac{29.6}{5.1}\approx5.80$

Answer:

$5.80$