Ok the above example is the same exact problem in my book and the same one my professor used during the lecture. I just have a multitude of questions between this problem and others. Ok for the example you did, the professor's and the book's last term is - 1/(n + 1)

So then take the limit of 1 - 1/(n+1)

why did you leave the problem the way you did instead of this way? What is the difference. Jeez i'm getting more and more confused

. Can you show me by listing the last few terms like the pdf file #27 for the original problem I put up on here? Since the first term and the third term doesn't cancel out, I should have 1 / n and something else right?