Is My Proof on Images and Monotone Functions Correct?

  • Thread starter Thread starter darkestar
  • Start date Start date
  • Tags Tags
    Functions Images
darkestar
Messages
12
Reaction score
0

Homework Statement



Included in the pdf


Homework Equations



Included in the pdf


The Attempt at a Solution



Please take a look at pdf for my attempted solution. I would like to know how if it makes logical sense or if I should change something. Thanks!
 

Attachments

Physics news on Phys.org
Any suggestions?
 
Can anyone look at my proof on the attached pdf and tell me if it is correct or on the right track?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

A Function and its Domain, Codomain and Image
Replies
2
Views
2K
Proof Using Mean Value Theorem
Replies
17
Views
2K
Proving an Inequality: x+y>=2sqrt(xy)
Replies
6
Views
2K
Finding the image of a multivariate function
Replies
19
Views
2K
Logarithm Function: Properties and Solutions [Attached Image]
Replies
5
Views
2K
Convergence of a continuous function related to a monotonic sequence
Replies
3
Views
2K
Improper Integral of a Monotonic Function
Replies
6
Views
2K
Linearly independent vs dependent functions
Replies
3
Views
993
Reversed limit definition for monotonic functions
Replies
3
Views
2K
One to one function is monotone?
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top