Exponentials bearbeitet, items erweitert

exponential.tex

@@ -127,13 +127,18 @@ Each polynomial in the sequence is, in a sense, the best approximation possible
 \begin{itemize}
 	
 	\item[\textcolor{red}{\tikzcircle{3pt}}] So, how good of an approximation is a polynomial truncation of $e^{\text {? }}$. Use a calculator to compare how close $e$ is to the linear, quadratic, cubic, quartic, and quintic approximations. How many digits of accuracy do you seem to be gaining with each additional term in the series?
+
+	\item[\textcolor{red}{\tikzcircle{3pt}}] Now, do the same thing with $1 / e$ by plugging in $x=-1$ into the series. Do you have the same results? Are you surprised?
+	
+	\item[\textcolor{red}{\tikzcircle{3pt}}] Calculate the following sum using what you know:
+	$$
+	\sum_{n=0}^{\infty}(-1)^n \frac{(\ln 3)^n}{n!}
+	$$
+	
 \end{itemize}
 %- 
-%- Now, do the same thing with $1 / e$ by plugging in $x=-1$ into the series. Do you have the same results? Are you surprised?
+%- 
-%- Calculate the following sum using what you know:
+
-%$$
-%\sum_{n=0}^{\infty}(-1)^n \frac{(\ln 3)^n}{n!}
-%$$
 %- Write out the first four terms of the following series
 %$$
 %\sum_{n=0}^{\infty}(-1)^n \frac{\pi^{2 n}}{2^n n!}