\documentclass[11pt]{article} \usepackage{amsmath} \usepackage{amssymb} \newcommand{\R}{\mathbb{R}} \date{Due Tuesday, 4/16} \title{Math 104 Homework 10 (Vaintrob)} \author{} \begin{document} \maketitle \section{26.2} \section{26.3} \section{26.4} \section{26.5} \section{28.1} \section{Extra Credit: 28.15} \section{Added problems about the binomial theorem:} (a) Let $f(x) = 1+x+x^2/2 + x^3/6.$ Compute $f(x+1)$ using the binomial theorem. \noindent (b, extra credit) Compute $e^{x+y}$ using $e^x = \sum_{n=0}^\infty \frac{1}{n!} x^n$ and the formula for binomial coefficients $\binom{n}{k} = \frac{n!}{k!(n-k)!}.$ \end{document}