Thread: 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?

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.

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