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Let $f(x)=\dfrac{(x+a)^{2}}{x^{2}}$ and $g(a)$ be the intercept of $f(x)$ on the $x$-axis.

Find $\displaystyle \lim_{a \to 0^{-}} g(a) + \lim_{a \to 0^{+}} g(a).$

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