4.1 and section 4.2 through page 138, due November 4

In the first section, I could easily see that these different functions had similarities and a connection should be drawn but I didn't follow their explanation very well. I'm glad we're finally looking at the binomial theorem cause I'm hoping that this time it will finally stick! and I am excited to better understand pascal's triangle because I was introduced to it in 9th grade and didn't see it enough to gain much from it besides that.