What is the limit of a function as x approaches a value, if it exists?

A function is said to be continuous at a point if:

If the left-hand limit and the right-hand limit of a function at a point are not equal, the limit:

Which of the following functions is continuous everywhere?

What does it mean for a function to be 'discontinuous'?

The limit of a constant function (e.g., f(x) = 5) as x approaches any value is:

What is the value of lim (x->0) x?

A polynomial function is always:

If a function f(x) is continuous at x = a, then what can you say about lim(x->a) f(x)?

Which of these properties is NOT generally true for limits?