1) Given the rational function - 2x 2 +13 x 3 +6x Find the following, if any --

Question

1) Given the rational function -    2x2+13                                                     x3+6x Find the following, if any-- a) Vertical asymptote at the line (s) x b) Horizontal asymptote at the line(s) y c) Oblique asymptote at the line y 1) Given the rational function -    2x2+13                                                     x3+6x Find the following, if any-- a) Vertical asymptote at the line (s) x b) Horizontal asymptote at the line(s) y c) Oblique asymptote at the line y                                                     x3+6x Find the following, if any-- a) Vertical asymptote at the line (s) x b) Horizontal asymptote at the line(s) y c) Oblique asymptote at the line y

Explanation / Answer

since the degree of the numerator is greater than the degreeof the denominator, by applying L'Hospital's Rule twice we see thatthe horizontal asymptote is the x-axis, i.e. the line y = 0 There is a vertical asymptote at x = 0 Since the x-axis is a horizontal asymptote both ways , thereis no oblique asymptote. Hope this helps

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.