Well, first off, you didn't tell us which variable we're integrating with respect to. From context, I can guess that it's with respect to x, because...
Well, first off I think there was a typo there and you meant to say \displaystyle \lim_{n \to \infty} a_n = 0. Assuming that's the case, let's begin...
Another possible way to sort this problem out is if there's a typo in the number of books that were loaned out. If only 102 fiction books were loaned...
Since you've shown no work of your own, I'm forced to assume you have none to show (because you definitely read the Read Before Posting thread that's...
Those are very nice word problems you've been assigned as homework. So tell us, what are your thoughts? What have you tried? Please re-read the Read...