***Ugh, I'm so sorry. I think I put this in the wrong thread. It probably should be in Calculus and Beyond... I tried to delete it but didn't see that option.So my professor gave us this problem to work on but no one could figure it out. I don't know where to even start and there's nothing at...
micromass,
Thanks for your quick response.
I think I'm starting to see some understanding.
So I need to look at my fn. And as n approaches infinity, (sin nx)/n will approach 0 and I would be left with just x^2.
For the dominated convergence, I would have |x^2| <= 4 on [1,2]
And...
I am absolutely lost. I had to take Advanced Calculus as independent study in a one month class and this book has very few examples, if any. I'm not even sure where to start on this one.
I have to compute the limit of an integral and then justify my methods according to the Lebesgue theory...