I'm having trouble getting lim to work inside an array

Here is my code

```
\begin{align*}
\lim_{e \rightarrow 0}{e^{A_\epsilon}} =
\left(
\begin{array}{cc}
1 & \lim_{e \rightarrow 0}{\frac{e^\epsilon + e^{-\epsilon}}{2}} \\
0 & 1 \\
\end{array}
\right)
=
\left(
\begin{array}{cc}
1 & 1 \\
0 & 1 \\
\end{array}
\right)
\end{align*}
```

My first lim is working correctly, but the second one looks weird. Here is the output of the above code within my larger document:

I'm kind of new to Latex, any help would be appreciated

## Best Answer

In addition to the point made by @PrzemysławScherwentl in his answer -- use

`\displaystyle`

on the upper-right element of the first matrix -- and implementing his suggestion that`\epsilon`

rather than`e`

should be the variable whose limit is`0`

, I would also recommend you use a`\pmatrix`

environment instead of`\left(\begin{array{cc} ... \end{array}\right)`

. You'll get less-profligate spacing that way.Oh, and since the expression fits on a single line, I wouldn't use an

`align*`

environment. Instead, you should use an`equation*`

environment.