\documentclass{jsarticle}
\usepackage{amsmath,amssymb}
\title{課題6}
\author{K}
\date{\today}
\begin{document}
\newtheorem{theorem}{定理}
\begin{theorem}[オイラーの等式]
\begin{align*}
$e^x=1+\frac{x}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}+...\\
\sin x=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\\
\cos x=1-\frac{x^2}{2!}+\frac{x^4}{4!}-...$\\
$e^ix
&=1+\frac{ix}{1!}+\frac{(ix)^2}{2!}+\frac{(ix)^3}{3!}+...\\
&=1+\frac{ix}{1!}-\frac{x^2}{2!}-\frac{ix^3}{3!}+...\\
&=\left(1-\frac{x^2}{2!}+\frac{x^4}{4!}...\right)+i\left(x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\right)\\
&=\cos x+i\sin x$\\
$e^i\pi
&=\cos \pi+i\sin \pi\\
&=-1$
\end{align*}
\end{theorem}
\end{document}
このファイルをコンパイルしたいんですが、エラーが出てしまいできません。
どうやら下から3行目に問題があるようです。
どなたかご教示願えないでしょうか。
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There is something \block{to}{目的} talk about.\vspace{1cm}%
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