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

Limits: showing your working.

  • Thread starter nokia8650
  • Start date
  • #1
219
0
eg. y = 5ke^(-0.2t) - 5k + 2

How would one show the working to show what happens as t tends to infinity? Would something like this be ok?

as t--> infinity

e^(-0.2t) --> 0

therefore 5ke^(-0.2t) ---> 0

therefore 5ke^(-0.2t) - 5k + 2 --> 5k + 2

therefore y ---> 5k + 2

Thanks
 

Answers and Replies

  • #2
Defennder
Homework Helper
2,591
5
Looks ok. But you left out a minus sign.
 
  • #3
tiny-tim
Science Advisor
Homework Helper
25,832
249
How would one show the working …
Hi nokia8650! :smile:

I guess it means a delta-epsilon proof. :smile:
 
  • #4
HallsofIvy
Science Advisor
Homework Helper
41,795
925
No, I would not say that "show the working" means a "delta- epsilon" proof. What You have done is correct. You might add something like "Since f(x)= ex increases without bound as x increases, e^(-0.2t) --> 0 as t --> infinity".
 

Related Threads for: Limits: showing your working.

  • Last Post
Replies
1
Views
953
  • Last Post
Replies
8
Views
384
Replies
5
Views
428
Replies
7
Views
2K
Replies
17
Views
3K
Replies
14
Views
3K
Replies
7
Views
2K
Replies
3
Views
466
Top