Formal:
* Illustrate: This is a good general term for providing an example to make something clearer.
* Demonstrate: This implies showing something in action, usually through an example.
* Exemplify: This means to serve as a good example of something.
* Cite: This is used when referring to a specific example from a source.
Informal:
* Show: This is a simple and direct way to say you're giving an example.
* Give: This is similar to "show" but can be used for a broader range of examples.
* For instance: This is a phrase often used to introduce an example.
* Such as: This is another phrase that introduces an example.
The best word to use will depend on the specific situation and the tone you're trying to convey.