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Limits at infinity of trigometric function

  1. Sep 17, 2010 #1
    1. The problem statement, all variables and given/known data

    lim (x→pi)〖sin(x-pi)/(x-pi)〗

    2. Relevant equations

    i dont know if we should use trig identity

    sin(a-b)= sinA cos B- CosA sin B

    3. The attempt at a solution
    i use identities to solve that, i did not get the answer. i tried to multiply by conjugate, did not work also.
    Last edited: Sep 17, 2010
  2. jcsd
  3. Sep 17, 2010 #2


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    Think about the squeeze theorem.
  4. Sep 17, 2010 #3
    You could use a substitution, u = x - [itex]\pi[/itex], and that limit should be familiar.
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