Limit of intercept

Calculus Level 3

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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