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A continues function question

  1. Dec 20, 2007 #1
    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

    why couldnt i pick the cases

    why did they pick this number??

    Last edited: Dec 20, 2007
  2. jcsd
  3. Dec 22, 2007 #2

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    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.)
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