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Math Help - A couple questions (Limits and anti-derivatives)

  1. #1
    Junior Member
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    Sep 2008
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    A couple questions (Limits and anti-derivatives)

    I am having issues with one homework problem and I am not to sure if I did the work for another problem correct. My first question is involving how to solve the limit as x approaches pi from the right

    lim tan(x/2)sin(3x)
    x -- pi^+

    I have not been able to solve this algebraically I tried writing tan as sin/cos but that did not seem to help. For this particular limit should i evaluate it using the squeeze theorem?

    My second question involves anti derivatives. I was given F'(t) and was told to find a function that satisfied requirements.

    F'(t) = 2cos(2t) + sec^2(t) f(pi/3) = 4

    I found the function f(t)

    f(t) = -sin(2t) + tan(t) + c

    then solves for c which was four. I am not to sure if I computer this problem correctly thought. Can anyone help me out?
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  2. #2
    Junior Member
    Joined
    Sep 2008
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    I found the error I made in my second question I just need help on my first question if anyone can help me out please.
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  3. #3
    Newbie
    Joined
    Nov 2008
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    tehran
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    Smile

    hi,i think that i know that what's your problem.ok
    limtan(x/2).sin(3x)=
    lim sin (3x)/cot(x/2)=(hopital)
    lim3cos(3x)/1/2(1+cot(x/2).cot(x/2))=
    -3/1/2=
    -6
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