This is probably a very obvious question but I cant seem to figure it out: I have the equation : (1-2(sqrt(x))+x)/(2(1-x)), I need to simply this and get a common variable out to get the x-1. How do I approach this? To give some context: I have to proof by the epsilon delta definition that the limit of x to 1 of the function (1-sqrt(x))/(1-x)=1/2. Suppose |x-1|<δ. Check |(1-sqrt(x))/(1-x)-1/2|. I simplied this and got (1-2(sqrt(x))+x)/(2(1-x)) from here I want to take a common variable out to get |x-1| and here is where I am stuck.
This is probably a very obvious question but I cant seem to figure it out: I have the equation : (1-2(sqrt(x))+x)/(2(1-x)), I need to simply this and get a common variable out to get the x-1. How do I approach this? To give some context: I have to proof by the epsilon delta definition that the limit of x to 1 of the function (1-sqrt(x))/(1-x)=1/2. Suppose |x-1|<δ. Check |(1-sqrt(x))/(1-x)-1/2|. I simplied this and got (1-2(sqrt(x))+x)/(2(1-x)) from here I want to take a common variable out to get |x-1| and here is where I am stuck.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
This is probably a very obvious question but I cant seem to figure it out:
I have the equation : (1-2(sqrt(x))+x)/(2(1-x)), I need to simply this and get a common variable out to get the x-1. How do I approach this?
To give some context:
I have to proof by the epsilon delta definition that the limit of x to 1 of the function (1-sqrt(x))/(1-x)=1/2.
Suppose |x-1|<δ.
Check |(1-sqrt(x))/(1-x)-1/2|. I simplied this and got (1-2(sqrt(x))+x)/(2(1-x)) from here I want to take a common variable out to get |x-1| and here is where I am stuck.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
