Not a member of Pastebin yet?
Sign Up,
it unlocks many cool features!
- \documentclass{article}
- \usepackage{amsmath}
- \usepackage{newpxtext}
- \usepackage{eulervm}
- \pagestyle{empty}
- \begin{document}
- \[
- \everymath={\displaystyle}
- \begin{array}{r@{\ }l@{\ }l@{\ }l@{\ }l}
- \frac{}{}
- e^x
- & = & \frac{x^0}{1} + \frac{x^1}{1} + \frac{x^2}{2} + \frac{x^3}{6} + \cdots
- & = & \sum_{n = 0}^\infty \frac{x^n}{n!}
- \\[20pt]
- \sin x
- & = & \frac{x^1}{1} - \frac{x^3}{6} + \frac{x^5}{120} - \frac{x^7}{5040} + \cdots
- & = & \sum_{n = 0}^\infty \frac{(-1)^n x^{2n + 1}}{(2n + 1)!}
- \\[20pt]
- \cos x
- & = & \frac{x^0}{1} - \frac{x^2}{2} + \frac{x^4}{24} - \frac{x^6}{720} + \cdots
- & = & \sum_{n = 0}^\infty \frac{(-1)^n x^{2n}}{(2n)!}
- \\[20pt]
- \frac{1}{1 - 2x}
- & = & 1x^0 + 2x^1 + 4x^2 + 8x^3 + \cdots
- & = & \sum_{n = 0}^\infty 2^n x^n
- \\[40pt]
- ?
- & = & \rlap{$0x^0 + 1x^1 + 1x^2 + 2x^3 + 3x^4 + 5x^5 + 8x^6 + \cdots$} \\
- & = & \sum_{n = 0}^\infty F_n x^n
- = \sum_{n = 0}^\infty \Bigg( \quad ? \quad \Bigg) x^n
- \end{array}
- \]
- \end{document}
Advertisement
Add Comment
Please, Sign In to add comment
