Question

Question #5b210

Answer 1

It depends on the details of your treatment of limits.

Explanation:

There is no emperor and no controlling council for mathematical terminology and notation.

In some treatments of limits, `f` must be defined in some open interval containing `a` (except possibly at `a` itself) in order for the limit to exist.

In this way of defining limit, you function does not have a limit at `0`

In other treatments , limits at endpoints of closed interval domains are defined to be the one-sided limit (from the appropriate side.)

In this treatment, is is possible that the function has a limit.

Example

`f(x) = sqrtx+5`

In the first treatment, we have `lim_(xrarr0)f(x)` does not exist.

But, `lim_(xrarr0^+)f(x) = 5`

So the second treatment allows `lim_(xrarr0)f(x) = 5`