[O] org-preview-latex-fragment: error log and vertical space

Hello

I really enjoy the org-preview-latex-fragment function,

However, sometimes I make typos and then
org-preview-latex-fragment fails naturally. There is no
error-log buffer which would inform me about the error I
made. Could that be added?
For some reason if I type

Test
$\int$
there is less vertical space (when displayed in thunderbird say) between the text and the formula
than
Test

$\begin{displaymath} \int \end{displaymath}$

Why?

Thanks

Uwe Brauer

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