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Homework Help: Continuity Of Composites

  1. Feb 3, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the constants a and b such that the function is continuous on the entire line.

    2. Relevant equations
    g(x)={4 sinx/x, x<0
    {a-2x, x> or = 0

    3. The attempt at a solution
    Possible discontinuity at x=0

    i am stuck, wouldn't f(0^-) not exist then? i really don't know what I am doing on this entire assignment as i have been gone from school for a week so if anyone knows how to do this, I would love for you to help me on AIM or MSN tonight.
  2. jcsd
  3. Feb 3, 2008 #2


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    Science Advisor
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    Gold Member

    You seem to be doing fine, except you didn't know that the limit of sinx/x as x-->0 is 1. Now you know!
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