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Limits Question

  1. Oct 26, 2005 #1

    can someone help me with this question??

    Use continuity to evaluate the limit:

    lim x->PI Sin(x + Sin x)


  2. jcsd
  3. Oct 26, 2005 #2


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    a) Is that function continuous?
    b) What is definition of continuity?
    Combine the two and the answer is trivial.
  4. Oct 26, 2005 #3
    I belive that this function is continus within its domain because it is a algebaric and trig function.

    But where do I go from here. If I plug Pi in to the function I get 0.00
  5. Oct 26, 2005 #4
    sorry I get 0.05575
  6. Oct 26, 2005 #5


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    What is [itex]\sin \pi[/itex]? I think you'll find your calc is in degrees not radians.
  7. Oct 26, 2005 #6
    Let f(x)=x+sin(x), and let g(x)=sin(x). What is g(f(x))?
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