Use continuity to evaluate the limit. 12 + Vx lim x-4 V12 + x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 83E
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Question
![Use continuity to evaluate the limit.
12 + Vx
lim
x-4 V 12 + x
Step 1
Consider the intervals for which the numerator and the
denominator are continuous.
The numerator 12+ Vx is continuous on the interval
(-0,00) x
The denominator V12 + x is continuous and nonzero on the
interval
(-00, – 12) U (–12,00) *](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce02bb84-762a-4ccc-9fbc-69fff564b031%2Febc11706-66b1-4489-8b51-a8d239fae59a%2Fb18iomi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use continuity to evaluate the limit.
12 + Vx
lim
x-4 V 12 + x
Step 1
Consider the intervals for which the numerator and the
denominator are continuous.
The numerator 12+ Vx is continuous on the interval
(-0,00) x
The denominator V12 + x is continuous and nonzero on the
interval
(-00, – 12) U (–12,00) *
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