What does it mean to say that the limit as x approaches 3 of y=f(x)=x^2 is 9

Question

My question involves limits. I'm looking for maybe a youtube video which will help guide me. Or if you can guide me step by step it would be greatly appreciated.

Answer 1

In mathematics, the concept of a "limit" is used to describe the value that a function or sequence "approaches" as the input or index approaches some value.-Wikipedia

 

Limit values do not always equal the point value.

But if the function is continuous, the limit value must equal the point value.

But if the function is not continuous, the limit value may equal the point value.