For the figures below, determine the nature of $\displaystyle \lim_{x\to a}\,\frac{f(x)}{g(x)}$, if $f(x)$ is shown as the blue curve and $g(x)$ as the black curve.

 $\displaystyle \lim_{x\to a}\,\frac{f(x)}{g(x)} =$ ? positive negative zero undefined $\displaystyle \lim_{x\to a}\,\frac{f(x)}{g(x)} =$ ? positive negative zero undefined