I need counter example for these statement

  • Thread starter Thread starter haya
  • Start date Start date
  • Tags Tags
    Counter Example
haya
Messages
15
Reaction score
0

Homework Statement


[PLAIN]http://hh7.net/Apr1/hh7.net_13016941501.gif


Homework Equations



these statement are false and i need counter example for each one

The Attempt at a Solution



for(ii) i can say that f(x)=x2-4 on [-6,6]

for others i need help
 
Last edited by a moderator:
Physics news on Phys.org
For (iii), what about f(x) = 0?

[edit]For (iv), what about g(x) = x + 1?[/edit]
 
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...

Similar threads

Replies
15
Views
2K
Replies
8
Views
7K
Replies
4
Views
3K
Replies
7
Views
2K
Replies
6
Views
2K
Replies
5
Views
1K
Replies
13
Views
4K
Back
Top