Question

4.6 limits at infinity and horizontal asymp - l2: problem 8 (1 point) evaluate $lim_{x
ightarrowinfty}\frac{3 - 3sqrt{x}}{3 + 10sqrt{x}}$. enter i for $infty$, -i for $-infty$, and dne if the limit does not exist. limit = note: you are in the reduced scoring period. all work counts for 85% of the original. preview my answers submit answers you have attempted this problem 0 times. you have unlimited attempts remaining. email instructor

Explanation:

Step1: Divide numerator and denominator by $\sqrt{x}$

$\lim_{x
ightarrow\infty}\frac{\frac{3}{\sqrt{x}} - 3}{\frac{3}{\sqrt{x}}+10}$

Step2: Evaluate limit of each term

As $x
ightarrow\infty$, $\lim_{x
ightarrow\infty}\frac{3}{\sqrt{x}} = 0$. So we have $\frac{0 - 3}{0 + 10}$

Answer:

$-\frac{3}{10}$