A continues function question

  • #1
1,395
0
i added a link with the picture of the solution
i cant understand a certain solution
of finding for which values of "n"
he function is continues

first they split n<0 case
and check what limit comes out of it
an get that the limit is not constant so it not possible

then they check n>0 case
and get a constant limit value and then suddenly they switch
to the answer n>=1
how did they get this answer???

why in the first place they picked the case n>0
n<0

why couldnt i pick the cases
n>9
n<9

why did they pick this number??

http://img337.imageshack.us/my.php?image=66816873ds0.png
 
Last edited:

Answers and Replies

  • #2
Shooting Star
Homework Helper
1,977
4
They are considering n as an integer; so n>0 => n =1 or n>1.

The reason they did not pick n > or < 9 is because the general characteristic of the function is the same for, say, n=7 and n=10 at x=0. The properties change when n crosses over from positive integral values to zero or negative integral values.

Have you understood why it's continuous at x=0 for positive integral values of n? (You've already understood the situation for negative n, you said.)
 

Related Threads on A continues function question

Replies
1
Views
1K
  • Last Post
Replies
8
Views
2K
  • Last Post
2
Replies
25
Views
5K
  • Last Post
Replies
4
Views
2K
Replies
3
Views
1K
Replies
7
Views
3K
  • Last Post
Replies
4
Views
4K
  • Last Post
Replies
6
Views
1K
K
Top