Let lim f(x)=c, where c is nonzero, and lim g(x) = 0. Then lim- <= - ∞ if f(x) x-a 8(x) 1. c>0 and g(x) +0+ II. c>0 and g(x)0 III. c<0 and g(x) +0+ Which of the given statement(s) is correct?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Let lim f(x) =c, where c is nonzero, and lim g(x) = 0. Then lim
x→a
x→a
I and II only
x→a
f(x)
g(x)
1. c>0 and g(x) →0+ II. c>0 and g(x) →0 III. c<0 and g(x) →0+
Which of the given statement(s) is correct?
(A) II only
(B) I and III only
(c) II and III only
||
T
8
4
Transcribed Image Text:Let lim f(x) =c, where c is nonzero, and lim g(x) = 0. Then lim x→a x→a I and II only x→a f(x) g(x) 1. c>0 and g(x) →0+ II. c>0 and g(x) →0 III. c<0 and g(x) →0+ Which of the given statement(s) is correct? (A) II only (B) I and III only (c) II and III only || T 8 4
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