What is the limit value of this?

As follows:

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What is the limit value of this?

\(\lim_{x \to 0}( \frac{(x+2)^2}{x}-\frac{4}{x})\)

\(f(x)=\frac{(x+2)^2-4}{x}=\frac{x^2+4x+4-4}{x}=\frac{x^2+4x}{x}\\\color{blue}f(x)=x+4\\\color{blue}x\in \mathbb R\ ( \ except\ x = 0\ )\)

\(\lim_{x \to 0}( \frac{(x+2)^2}{x}-\frac{4}{x})=4\)

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