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Limit arctg (x)

  1. Nov 15, 2011 #1
    1. The problem statement, all variables and given/known data

    I need help solving this limit. If anyone coud«ld help i'd be grateful
    263jb0h.jpg

    2. Relevant equations



    3. The attempt at a solution

    I have no idea how to solve the indetermination...
     
  2. jcsd
  3. Nov 15, 2011 #2

    Dick

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    Did you try l'Hopital's rule?
     
  4. Nov 15, 2011 #3
    This is a problem for calculus 1, i'm not familiarized with l'Hospital's rule :\
     
  5. Nov 15, 2011 #4

    Dick

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    Do you have any inequalities concerning arctan you can use? Something like 0<=arctan(u)<=u for u=>0?
     
    Last edited: Nov 15, 2011
  6. Nov 15, 2011 #5
    All i've been given was the limit above. I'm supposed to know what's his limit when x tends to zero
     
  7. Nov 15, 2011 #6

    Dick

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    You have know something about the arctan function to solve it. Can you solve it with the inequality I gave you in the last post? BTW I was sloppy and wrote it incorrectly. I fixed it.
     
  8. Nov 16, 2011 #7
  9. Nov 16, 2011 #8

    Dick

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