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Which one of these is continuous at x=0?

  1. Apr 12, 2010 #1
    1. The problem statement, all variables and given/known data

    1) f(x) = sin(1/x) for x is not 0
    = 0 for x is 0
    2) f(x) = x sin (1/x) for x is not 0
    =0 for x = 0

    2. Relevant equations

    3. The attempt at a solution
    i've got a hunch the answer is the second one
    (i think that factor 'x' is going to minimize the total value when x is really close to 0 )

    but i cant find a mathmatical way of looking at it..
    any help?
  2. jcsd
  3. Apr 12, 2010 #2
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