quiz 9 - requires respondus lockdown browser + webcam\nstarted: oct 20 at 9:55pm\nquiz instructions\naccess…

quiz 9 - requires respondus lockdown browser + webcam\nstarted: oct 20 at 9:55pm\nquiz instructions\naccess code: start\ntimed: 25 minutes\nnumber of attempts: 1\nlockdown browser and respondus monitor required.\nthis quiz covers sections through 3.7 from the textbook.\nquestion 3\nlet ( p(x) ) and ( q(x) ) be polynomials.\nif the degree of ( p(x) ) is 6, and the degree of ( q(x) ) is 10, find ( lim_{x\toinfty}\frac{p(x)}{q(x)} ).\n0\n6\n10\ndne\n3/5

quiz 9 - requires respondus lockdown browser + webcam\nstarted: oct 20 at 9:55pm\nquiz instructions\naccess code: start\ntimed: 25 minutes\nnumber of attempts: 1\nlockdown browser and respondus monitor required.\nthis quiz covers sections through 3.7 from the textbook.\nquestion 3\nlet ( p(x) ) and ( q(x) ) be polynomials.\nif the degree of ( p(x) ) is 6, and the degree of ( q(x) ) is 10, find ( lim_{x\toinfty}\frac{p(x)}{q(x)} ).\n0\n6\n10\ndne\n3/5

Answer

Explanation:

Step1: Recall the rule for limits of rational functions at infinity

For a rational function (\frac{P(x)}{Q(x)}) where (P(x)) and (Q(x)) are polynomials. If the degree of (P(x)=m) and the degree of (Q(x)=n). When (m < n), (\lim_{x\rightarrow\infty}\frac{P(x)}{Q(x)} = 0).

Step2: Compare the degrees of (P(x)) and (Q(x))

Given that the degree of (P(x)) is (m = 6) and the degree of (Q(x)) is (n=10). Since (6<10) (i.e., (m < n)).

Answer:

A. 0