Question

What is the limit of `f(x)=4` as `x` approaches `pi`?

Answer 1

The given function is a constant, meaning that for every value of `x` the result is the same value. In this example that result is `4` regardless the value of `x`.

One of the properties of limits is that the limit of a constant is the constant.

If you were to graph `f(x)=4` you would see a horizontal line that intersects the `y`-axis at position `(0,4)`.