Find the limit of the rational function (a) as x→∞o and (b) as x-co. Write ∞o or - co where appropriate. 2x³ +5 f(x) = a. lim 3 2x³ +5 3 X→∞ X x +x+6 (Simplify your answer.) b. lim X-X+x+6 2x³ +5 -x²+x+6, X→ ∞ X (Simplify your answer.) -0

Q: A rational function f(x) has one vertical asymptote x= 2, and one horizontal asymptote, y=-3 and the…

A:

Q: 5 Given that 1+5i is a zero of f(x)=x³-3x +28x-26 find the remaining zeros and factor f(x) as a…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→∞o. 9x + 2 2 X-X+x+6 f(x) = 4

A: To find the limit of the following rational function a as x→∞,  and, b as x→-∞.fx=9x4+2x4-x2+x+6

Q: find the limit of rational function (a) as x→0 and (b) as x→ -o. 5x8 – 2x3 + 9 h(x) 3 + x – 4x5

A: [a]limx→∞5x8−2x3+9−4x5+x+3 Therefore, limx→∞5x8−2x3+9−4x5+x+3=∞

Q: Give the equations of any (a) vertical and (b) horizontal asymptotes for the graphs of the rational…

A: Given: fx=3x-5 We know that for rational functionfx=fxgx, degree of fx<degree of gx, horizontal…

Q: Suppose f ( x ) = g ( x ) h ( x ), is a rational function (that means g ( x ) and h ( x ) are…

A: f ( x ) = g ( x ) / h ( x ) , g ( x ) and h ( x ) are polynomials  If h(x) and g(x) does not have…

Q: find the limit of each rational function (a) as xS q and (b) as xS -q.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. (S8.Purple) Consider the following rational function (x² – x)(x+6) (x – 1)(x+7)(x– 8) r(x) (a)…

A: (a) domain of r(x)…

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→ ∞. 4 3 2x + 5x - 1 f(x) = 2 2x -…

A:

Q: If r(r): q(a) = 0, then the line y = a is a horizontal asymptote of the graph of r(r). La is a…

A:

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→-00. 9x9 +6x³-1 7x² - 6x+9 f(x) =…

A:

Q: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

A: Given query is to find indicated function.

Q: Find the vertical asymptotes of the rational function. f(x)= x-5/25x-x^3 a. x=0,x=5 b. x=−5,x=5…

A: