Evaluate the following Limits: 3 1. lim x418 2. lim 1 3+ 2x x-1 x-1 √4x+5-3 3√x6+8 3. lim x→∞0 4x²+√√3x4+1

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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EXAMPLE
Evaluate the following Limits:
3√x6+8
4x²+√√3x4+1
1. lim
x→∞0
2. lim
818
3. lim
X-4
1
1
1+ 2x
3(x-4)√x+5
3-√x+5
Script>
1 %Declare the symbolic Variables to be used
2 syms x
3 %Solve for lim1
4 lim1 =
5 %Solve for lim2
6 lim2 =
limit(((x^6+8)^(1/3))/(4*x^2+(3*x^4+1)^(1/2)),x,inf)
=
limit(1/(1+2^(1/x)),x,inf)
7 %Solve for lim3
8 lim3
limit((3*(x-4)*(x+5)^(1/2))/(3-(x+5)^(1/2)),×₁4)
Transcribed Image Text:EXAMPLE Evaluate the following Limits: 3√x6+8 4x²+√√3x4+1 1. lim x→∞0 2. lim 818 3. lim X-4 1 1 1+ 2x 3(x-4)√x+5 3-√x+5 Script> 1 %Declare the symbolic Variables to be used 2 syms x 3 %Solve for lim1 4 lim1 = 5 %Solve for lim2 6 lim2 = limit(((x^6+8)^(1/3))/(4*x^2+(3*x^4+1)^(1/2)),x,inf) = limit(1/(1+2^(1/x)),x,inf) 7 %Solve for lim3 8 lim3 limit((3*(x-4)*(x+5)^(1/2))/(3-(x+5)^(1/2)),×₁4)
Exercises:
Evaluate the following limits using MATLAB and place your answer using (lim1, lim2 and lim3).
Evaluate the following Limits:
3
1. lim
X418
00 O
2. lim
9
Script>
x 1 √4x+5-3
3√√x6+8
x→∞0 4x²+√√3x4+1
3. lim
3+ 2x
x-1
1 Declare the symbolic Variables to be used
2
3 %Solve for lim1
4 lim1 = T
5 %Solve for lim2
6 lim2=
7 %Solve for lim3.
8 lim3 =
Save C Reset
MATLAB Documentation
Run Script
Transcribed Image Text:Exercises: Evaluate the following limits using MATLAB and place your answer using (lim1, lim2 and lim3). Evaluate the following Limits: 3 1. lim X418 00 O 2. lim 9 Script> x 1 √4x+5-3 3√√x6+8 x→∞0 4x²+√√3x4+1 3. lim 3+ 2x x-1 1 Declare the symbolic Variables to be used 2 3 %Solve for lim1 4 lim1 = T 5 %Solve for lim2 6 lim2= 7 %Solve for lim3. 8 lim3 = Save C Reset MATLAB Documentation Run Script
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