#### Answer

(a) This function does not have any asymptotes.
(b) This function does not have any asymptotes.
(c) This function has vertical asymptotes for $x=(2m-1)\pi/2$ where $m$ is an integer. Here the function always goes to $+\infty$ from the left and to $-\infty$ to the right.
(d) This function has two horizontal asymptotes: $y=\pi/2$ when $x$ goes to $+\infty$ and $y=-\pi/2$ when $x$ goes to $-\infty$.
(e) This function has the horizontal asymptote $y=0$ when $x$ goes to $-\infty$.
(f) This function has the vertical asymptote $x=0$ and it goes to $-\infty$ when $x$ approaches from the right.
(g) This function has a vertical asymptote $x=0$ and a horizontal asymptote $y=0$. The function goes to $-\infty$ from the left and $+\infty$ from the right.
(h) This function has no asymptotes.