I am having trouble understanding the concept of "Table of Values".  I understand what its function is, but if you see the image I attached, I do not understand how the values for x nor f(x) were determined.  Can someone please explain how the values such as 3.9, 10.9, etc. came to be?  I know the limit is ultimately 11, I just don't understand how to work this out on my own.

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.