Let us look at two arguments for this, with slightly different takes on what "limited democracy" means.
One argument says that the will of the people should not be obeyed in all cases. In other words, there should be some things the majority would not be allowed to do. One example of this would be that the majority should not be allowed to discriminate against minorities that they do not like.
Another argument says that societies should not have direct democracy. Democracy should be limited in the sense that the people should vote for representatives, not for actual laws. This is important because it is very difficult for the people to become educated on all the issues that should be considered when deciding how to vote on a given law. It is much better to have representatives whose entire job is to consider all of the factors that are relevant. That way, we get more effective government.