What is the difference between 比如 and 例如 I know both can mean "for example/such as/for instance". They are most likely synonyms but even synonyms have slight subtle differences in precise meaning and usage. 
I know that 例 can be used alone: (例句 -- example sentence; 例语 -- example word/phrase) and 比 cannot (比句 and 比语 don't exactly make much sense).
What I don't know are the specific semantic differences between 例如 and 比如.
Any help would be appreciated!
比如 used for similar but have different things;

例如 used for many of the same things, and take a typical example, using the example to illustrate the general of many things

Also, 比如 may not exist, but 例如 is must really exist. 


  比如和例如最重要的区别在“比”“例”的不同上。两词共有的“如”都是“象”的意思。但是，“比如”是用两个有些相似但是根本不同事物间的形容。例如说，“说话就比如是骑自行车样，要练习。”这里就不能用“例如”。“例如”是在说明很多相同的事物时，从中拿出一个典型的例子，用这个例子来说明众多的一般的事物。例如：“大家都很无私，例如小李就捐了一万块。”这里用比如好像可以，但是准确的应该是“例如”。


See here