Remember, the goal with "showing work" and "explaining" is that one of your fellow students should be able to completely understand what you are trying to say using only what you have written. The purpose of this project is to prove a limit that I use in the section 3.3 lecture video. This is a limit that we have already done in class, but while in class, we found the limit with the tables method, which as you know is not always reliable. sin (I) These problems will guide you through showing that lim is equal to 1 by using the squeeze theorem. +0 First, consult the following picture. It is basically a picture of a circle of radius 1 centered at the origin, as well as some extra guide-lines with points marked as capital letters. H A NOTE: For the rest of this assignment the notation MNV would mean a line segment connecting point M and point N. Also, let the angle between OA and OK" be a radians. 1) What is the length of OA ? 2) Explain why the length of HK is sin(x) . Explain why the length of OH is cos(x) . 3) Explain why HK > . This can be a bit tricky! See page 192 for help. sin(I) 8) Using your results from #5 and #7, show that the following must be true: cos(I) I