Write your answers to each question below as a series of three letters Y (for Yes) or N (for No). Leave space between the group of three letters answering (i), the answers to (ii) and the answers to (iii). Consider the graphs of functions $$f(x) = \frac{x^{3}}{x^{2}-x} \qquad g(x) = \frac{x^{2}-x}{x^{3}} \qquad h(x) = \frac{x^{3}-x}{x^{3}+x}$$ (i) Does $f$ have a horizontal asymptote? A vertical asymptote? A removable discontinuity? (ii) Does $g$ have a horizontal asymptote? A vertical asymptote? A removable discontinuity? (iii) Does $h$ have a horizontal asymptote? A vertical asymptote? A removable discontinuity?
Write your answers to each question below as a series of three letters Y (for Yes) or N (for No). Leave space between the group of three letters answering (i), the answers to (ii) and the answers to (iii). Consider the graphs of functions
$$f(x) = \frac{x^{3}}{x^{2}-x} \qquad g(x) = \frac{x^{2}-x}{x^{3}} \qquad h(x) = \frac{x^{3}-x}{x^{3}+x}$$
(i) Does $f$ have a horizontal asymptote? A vertical asymptote? A removable discontinuity?\\
(ii) Does $g$ have a horizontal asymptote? A vertical asymptote? A removable discontinuity?\\
(iii) Does $h$ have a horizontal asymptote? A vertical asymptote? A removable discontinuity?