Question

How to find vertical and horizontal asymptotes using limits?

Answer 1

Answer:

Finding Horizontal Asymptotes of Rational Functions

If both polynomials are the same degree, divide the coefficients of the highest degree terms. ...

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

For e. G.

Find all horizontal asymptote(s) of the function f(x)=x2−xx2−6x+5 and justify the answer by computing all necessary limits.

Find all horizontal asymptote(s) of the function f(x)=x2−xx2−6x+5 and justify the answer by computing all necessary limits.Also, find all vertical asymptotes and justify your answer by computing both (left/right) limits for each asymptote.

Find all horizontal asymptote(s) of the function f(x)=x2−xx2−6x+5 and justify the answer by computing all necessary limits.Also, find all vertical asymptotes and justify your answer by computing both (left/right) limits for each asymptote.MY ANSWER so far..

Find all horizontal asymptote(s) of the function f(x)=x2−xx2−6x+5 and justify the answer by computing all necessary limits.Also, find all vertical asymptotes and justify your answer by computing both (left/right) limits for each asymptote.MY ANSWER so far..For the Horizontal asymptote, I simply looked at the coefficients for both the numerator and the denominator. Both are 1 so 11 gives me y=1 as the Horizontal asymptote however I don't know how I would justify it with a limit. If i take the limit of f(x), what will x approach? ∞ or −∞?

Find all horizontal asymptote(s) of the function f(x)=x2−xx2−6x+5 and justify the answer by computing all necessary limits.Also, find all vertical asymptotes and justify your answer by computing both (left/right) limits for each asymptote.MY ANSWER so far..For the Horizontal asymptote, I simply looked at the coefficients for both the numerator and the denominator. Both are 1 so 11 gives me y=1 as the Horizontal asymptote however I don't know how I would justify it with a limit. If i take the limit of f(x), what will x approach? ∞ or −∞?For the vertical asymtote, I set the denominator equal to 0 and got x=5 and x=1 as the vertical asymptotes. However, I dont know how I would justify my answer using limits..

Answer 2

Step-by-step explanation:

give me marks.

I hope this help you.