Is there a difference between "such as" and "for example" in the sense that one is limiting and the other is not?

Is "such as" limiting? If I say "I like animals such as lions and tigers", can it be said that the category of animals I like is limited to big cats so that it would be reasonable to infer that I do not necessarily like mice and rats?

Is the above equivalent to "I like animals for example lions and tigers"?

Does "I like animals such as, for example, lions and tigers" have any meaning or is it tautologous?
- "such as" is not as limiting as that. (I would not assume you didn't like mice and rats)
- Yes, you would be saying 'for example'
- Yep:

Such as, for example.. =

Such as = "for example" + an example! = Such as, for example.
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In my opinion, the chief difference between the usage of these two expressions lies in: 'such as' is generally used when its following information are given in the form of phrases, for example, we all face different stresses from every aspect everyday, such as family, occupation,child-rearing, and so on; on the other hand, 'for example' is usually followed with a complete sentence, for example, people are not necessarily depressed over the failures or setbacks they confronted, for example, Edison provided the world with lots of inventions though he failed many a time. I'm not sure if it is correct. If you have different idea, please let me know.

I think the examples you provided were excellent.