• Support PF! Buy your school textbooks, materials and every day products Here!

Limit question

  • Thread starter Portuga
  • Start date

Answers and Replies

  • #2
andrewkirk
Science Advisor
Homework Helper
Insights Author
Gold Member
3,792
1,390
It's almost right. The only problem is that ##k## may be negative. So multiplying the inequality by ##k## will change direction of the inequality, which will prevent reaching the conclusion.

Two ways to get around this are:

1. Do three separate cases, for k positive, negative and zero respectively; or
2. Multiply by ##|k|## instead.

2 is quicker, but you'll need to insert a few careful steps around where you multiply by ##|k|## to ensure that each one is valid.
 
  • #3
35
2
Thank you very much!
 

Related Threads on Limit question

  • Last Post
Replies
15
Views
619
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
797
  • Last Post
Replies
13
Views
1K
  • Last Post
Replies
21
Views
3K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
2
Views
709
  • Last Post
Replies
2
Views
996
  • Last Post
Replies
7
Views
1K
Top