There are different types of fence problems and some of them can be fixed easier than others. Before repairing your fence, you must take into consideration different aspects.
First, the material your fence is made from. Wood fences are beautiful additions to your property, but they are more prone to damage than other materials. Wood is affected not just by moisture, but also by insects and weather, so before starting a repair project for what seems to be a few broken boards, carefully inspect for other signs of damage too. Pooling water around the fence might need to be redirected and insects destroyed. If you use fillers to patch some boards or replace a few boards altogether, the repairs will be visible forever, as they will likely look different in color, even if they weather in time. This is not necessarily bad, as natural materials are beautiful through their imperfections, but if you prefer a uniform aspect, you should also consider adding a (new) layer of paint to your fence.With a vinyl fence, things are way easier, as this material is very resistant, flexible and is not being affected by moisture, weather or insects. It might get damaged only due to heavy impact, and the biggest threat is cracking. Damaged areas must be replaced.
As about metal fences, repairs may require welding and the skills of a Westminster fencing professional with knowledge and equipment for this job.
Regardless the material it is made from, if your fence has some extensive damage, you might also have to consider replacing it instead of repairing it.