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#1 Help Me ! » Discontinuous Function » 2014-11-03 15:18:42
- Maburo
- Replies: 0
I am having trouble starting a problem on the continuity of a function. The problem is:
I think that the intermediate value theorem would be useful in the proof, but I can't figure out how to apply it. Does anybody have an idea for something that could be useful for this problem? Thanks for any help!
#2 Re: Help Me ! » Sequence Limit Proof » 2014-10-08 02:25:16
Very clever! That was awesome. Now I suppose I should practice coming up with such things on spot.
Thanks for your help!
#3 Re: Help Me ! » Sequence Limit Proof » 2014-10-07 15:33:30
Is there some way to define N as the minimum of two values (one being the value I already found), that would make this possible? I am completely stuck on this one. I can't figure out where to go with it 
#4 Help Me ! » Sequence Limit Proof » 2014-10-06 18:23:43
- Maburo
- Replies: 5
Hello. I am trying to prove the limit of a sequence using the definition of a sequence limit. The definition is:
I am trying to prove that
This is what I have done so far:
The issue I am having is that by the definition, epsilon can be any positive number. But by the value I have given N through manipulating these equations, epsilon cannot be equal to 2. Is this allowed? If not, is there some other method of finding such an N?
I appreciate any input! Thanks.
#23 Re: Puzzles and Games » Add 99 more and post it forever. » 2014-07-11 13:31:20
144540 - 1 = 144539 is prime
144540 + 1 = 144541 is prime