Not having more than 10 rep means that I cannot post images or more than 2 links. However, a question may be hindered by that, reducing the quality of the question, and thus decreasing the chance it will be voted up.
Without it being voted up, the new user may find it difficult to get above 10 rep.
As this restriction is in place to prevent spam, it should be possible to use a CAPTCHA to post links and images if they haven't yet got over 10 rep.
https://en.wikipedia.org/wiki/CAPTCHA
Edit: Shog9 has a very good point about images and instant offence versus mere annoyance (and yes, they can still be posted as a link initially), but for links things needs to be adjusted.
If the limit is exceeded, in addition to the idea of a CAPTCHA - what do you think about this idea?:
When clicking 'Save Edits', instead of just saying it's not allowed, to offer the excess links to be 'hidden' by commenting them out. This would allow a higher-rep user to edit the missing links in by uncommenting them (in the same fashion that animuson pointed out for images).
Edit: While I still have below 10 rep... the exact messages are:
"Oops! Your edit couldn't be submitted because:
- We're sorry, but as a spam prevention mechanism, new users can only post a maximum of two hyperlinks. Earn more than 10 reputation to post more hyperlinks."
And for images (just for the record):
"Oops! Your edit couldn't be submitted because:
- We're sorry, but as a spam prevention mechanism, new users aren't allowed to post images. Earn more than 10 reputation to post images."