Continuous Real Function/Examples/Root of x at 1

Examples of Continuous Real Functions
Let $f: \R_{\ge 0} \to \R$ be the real function defined as:
 * $\map f x = \sqrt x$

Then $\map f x$ is continuous at $x = 1$.

Proof
From Limit of Real Function: Example: $\sqrt x$ at $1$, we have that:

The result follows by definition of continuous real function.