First off, for section 4.3 #s 1,2 and 4, are we supposed to use the squeeze theorum here? It doesn't seem to be working, or I'm not doing it correctly. For example, in the first problem, I said that if $-1<{\sin{5x}<1$ then $\frac{-1}{x}<\frac{\sin{5x}}{x}<\frac{1}{x}$, but then that doesn't help either, since the "top" and "bottom" have a vertical asymptote at 0. Should the first two problems be rewritten? And if so, how exactly?

Also, section 4.4 Problem #1, I'm getting $\sin{2x}$ for an answer, which doesn't look like the answer in the back of the book.