# test of formatting

```{julia}
using CalculusWithJulia
using CalculusWithJulia.WeaveSupport
using Plots
```


$$
f(x) = \frac{(x-1)^2 \cdot (x-2)}{(x+3) \cdot (x-3)}.
$$


```{julia}
f(x) = (x-1)^2 * (x-2) / ((x+3)*(x-3) )
plot(f, -10, 10)
```


These values are more commonly expressed using the exponential function as:

inline : ``\sin(x^2)``

display:

$$
\frac{\sin(x^2)}{x}
$$

align


$$
\begin{align*}
\sinh(x) &= \frac{e^x - e^{-x}}{2}\\
\cosh(x) &= \frac{e^x + e^{-x}}{2}.
\end{align*}
$$

These values are more commonly expressed using the exponential function as:

$$
\begin{align*}
\sinh(x) &= \frac{e^x - e^{-x}}{2}\\
\cosh(x) &= \frac{e^x + e^{-x}}{2}.
\end{align*}
$$

These values are more commonly expressed using the exponential function as:

$$
\begin{align*}
\sinh(x) &= \frac{e^x - e^{-x}}{2}\\
\cosh(x) &= \frac{e^x + e^{-x}}{2}.
\end{align*}
$$

These values are more commonly expressed using the exponential function as:

$$
\begin{align*}
\sinh(x) &= \frac{e^x - e^{-x}}{2}\\
\cosh(x) &= \frac{e^x + e^{-x}}{2}.
\end{align*}
$$