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

Epsilon-Delta Problem

  • Thread starter keemosabi
  • Start date
  • #1
109
0
Please Delete, Problem Solved

Please Delete, Problem Solved
 
Last edited:

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,770
911
What is the limit of sin(5x)/x as x goes to 0? Taking "A" as that value you want to find x such that |sin(x)/x- A|< 0.01.
 
  • #3
109
0
The limit as sin(5x)/x goes to 0 is 5, right?
 
  • #4
Deveno
Science Advisor
906
6
as a practical matter you may want to find t such that:

|sin(t)/t - 1| < 0.01

then use x = t/5.

finding such a t (and thus x) isn't that hard (i did it by trial-and-error in about 2 minutes), the real trick is showing the inequality holds in the interval (-x,x). unless i am mistaken, the problem doesn't ask you to find the largest possible such x, just one that works.
 

Related Threads for: Epsilon-Delta Problem

  • Last Post
Replies
16
Views
3K
  • Last Post
Replies
0
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
11
Views
681
  • Last Post
Replies
2
Views
743
  • Last Post
Replies
3
Views
2K
Top