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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
    f(0^+)=a-2x=a-2(0)=a
    f(0^-)=4sinx/x=4sin(0)/(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

    quasar987

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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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