Quick Question (Epsilon/Delta Limit Proofs)

  • Thread starter Thread starter amd123
  • Start date Start date
  • Tags Tags
    Limit Proofs
Click For Summary
SUMMARY

The discussion focuses on the manipulation of inequalities in the context of Epsilon/Delta limit proofs in calculus. The user presents a specific inequality transformation involving the expression (1/-e+1)1/2.

PREREQUISITES
  • Understanding of Epsilon/Delta definitions in calculus
  • Knowledge of inequality manipulation and properties
  • Familiarity with limit proofs in mathematical analysis
  • Basic algebra skills, particularly with fractions and inverses
NEXT STEPS
  • Study the formal definition of limits using Epsilon and Delta
  • Practice manipulating inequalities in calculus contexts
  • Explore examples of limit proofs involving Epsilon/Delta arguments
  • Review properties of inequalities and their implications in mathematical proofs
USEFUL FOR

Students studying calculus, particularly those focusing on limit proofs, as well as educators seeking to clarify the nuances of inequality manipulation in mathematical analysis.

amd123
Messages
110
Reaction score
0

Homework Statement


[PLAIN]http://img641.imageshack.us/img641/2494/mathg.png
I've worked through it and at the 1st step I get:
(1/-e+1)<x<(1/e+1)

How do they have
(1/e+1)<x<(1/-e+1)?

Do you switch the signs of an inequality when you take the inverse of both sides?
 
Last edited by a moderator:
Physics news on Phys.org
1<2. 1/1>1/2. Yes, you do reverse the inequalities when you invert.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 31 ·
2
Replies
31
Views
3K
Replies
19
Views
2K
Replies
6
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K