Limit of intercept

Calculus Level 3

Let f(x)=(x+a)2x2f(x)=\dfrac{(x+a)^{2}}{x^{2}} and g(a)g(a) be the intercept of f(x)f(x) on the xx-axis.

Find lima0g(a)+lima0+g(a).\displaystyle \lim_{a \to 0^{-}} g(a) + \lim_{a \to 0^{+}} g(a).

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