Evaluate the following limits. Enter INF for oo and -IINF for -o. (4 – x)(5+ 7x) - lim Σ x 0 a00 (3 – 7x)(7+ 7x) (4 – x)(5 + 7x) lim - Σ x-0 (3 – 7x)(7+7x) ||

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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Evaluate the following limits. Enter INF for o and INF for -xo.
(4 – a)(5+ 7x)
-
lim
2->00 (3 – 7)(7+ 7x)
Σ
(4 – x)(5+ 7x)
lim
x→-0 (3 – 7x)(7+ 7x)
Σ
||
Transcribed Image Text:Evaluate the following limits. Enter INF for o and INF for -xo. (4 – a)(5+ 7x) - lim 2->00 (3 – 7)(7+ 7x) Σ (4 – x)(5+ 7x) lim x→-0 (3 – 7x)(7+ 7x) Σ ||
The curve y = f(x) is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists.
For the functions f(x) given below, evaluate the indicated limits and give the equation of the horizontal asymptote associated with each limit.
-16x
(a) f(x)
13 + 2x
lim f(x) :
Σ
Equation of horizontal asymptote:
Σ
бх — 3
|
(b) f(x)
x3 + 11x – 6
lim f(x) =
Σ
Equation of horizontal asymptote:
Σ
Transcribed Image Text:The curve y = f(x) is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists. For the functions f(x) given below, evaluate the indicated limits and give the equation of the horizontal asymptote associated with each limit. -16x (a) f(x) 13 + 2x lim f(x) : Σ Equation of horizontal asymptote: Σ бх — 3 | (b) f(x) x3 + 11x – 6 lim f(x) = Σ Equation of horizontal asymptote: Σ
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