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Examine the continuity of tan(pi/x)

  1. Sep 26, 2014 #1
    1. The problem statement, all variables and given/known data
    Examine the continuity of
    P: x -----> tan(Pi/x)

    2. The attempt at a solution:
    I considered fog with f=tan(x) and g=Pi/x
    But the problem I have is with the domain of definition
    can someone please help !!
     
  2. jcsd
  3. Sep 26, 2014 #2

    HallsofIvy

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    For what values of [itex]\theta[/itex] is [itex]tan(\theta)[/itex] not continuous? For what values of x is [itex]\pi/x= \theta[/itex]?
     
  4. Sep 26, 2014 #3
    So P is not continuous on 0 and 2/2k+1 right ??
     
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