Home / Expert Answers / Algebra / explain-why-the-following-rules-can-be-used-to-find-lim-x-gt-infty-p-x-q-x-a-if-the-pa566

(Solved): Explain why the following rules can be used to find \lim_(x->+-\infty )[(p(x))/(q(x))]. a. If the ...



Explain why the following rules can be used to find \lim_(x->+-\infty )[(p(x))/(q(x))]. a. If the degree of p(x) is less than the degree of q(x) the limit is 0 . b. If the degree of p(x) is equal to the degree of q(x) the limit is (A)/(B) where A and B are the leading coefficients of p(x) and q(x) and respectively. c. If the degree of p(x) is greater than the degree of q(x) the limit is \infty or -\infty . a. Choose the correct answer below. A. Since the degree of p(x) is less than the degree of q(x),p(x) will approach +-\infty much slower than q(x), and as p(x) and q(x) become larger, the ratio (p(x))/(q(x)) will approach 0 . B. Since the degree of p(x) is less than the degree of q(x),p(x) will approach +-\infty at the same rate as q(x), and as p(x) and q(x) become larger, the ratio (p(x))/(q(x)) will approach 0 . C. Since the degree of p(x) is less than the degree of q(x),p(x) will approach +-\infty much faster than q(x), and as p(x) and q(x) become larger, the ratio (p(x))/(q(x)) will approach 0 .


We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe