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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the limit of the rational function (a) as x→∞o and (b) as x→ ∞o. Write oo or - co where appropriate.
f(x) =
3
X-X
b. lim
2x³ +5
-x²+x+6
3
a. lim
2x³ +5
x³₁-x²+x+6
2
X-8
Simplify your answer.)
2x³ +5
3
∞0/x
x³ -x²+x+6
X-18
X
(Simplify your answer.)
-
II
Transcribed Image Text:Find the limit of the rational function (a) as x→∞o and (b) as x→ ∞o. Write oo or - co where appropriate. f(x) = 3 X-X b. lim 2x³ +5 -x²+x+6 3 a. lim 2x³ +5 x³₁-x²+x+6 2 X-8 Simplify your answer.) 2x³ +5 3 ∞0/x x³ -x²+x+6 X-18 X (Simplify your answer.) - II
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