91Ó°ÊÓ

\(\lim _{x \rightarrow 0} \frac{\sin 5 x}{x}\) \((\mathrm{A})=\frac{1}{5}\) \((B)=1\) \((C)=5\) (D) does not exist

\(\lim _{x \rightarrow 0} \frac{\sin 2 x}{3 x}\) (A) \(=\frac{2}{3}\) \((B)=1\) \((\mathrm{C})=\frac{3}{2}\) (D) does not exist

The graph of \(y=\arctan x\) has (A) vertical asymptotes at \(x=0\) and \(x=\pi\) (B) horizontal asymptotes at \(y=\pm \frac{\pi}{2}\) (C) horizontal asymptotes at \(y=0\) and \(y=\pi\) (D) vertical asymptotes at \(x=\pm \frac{\pi}{2}\)

The graph of \(y=\frac{x^{2}-9}{3 x-9}\) has (A) a vertical asymptote at \(x=3\) (B) a horizontal asymptote at \(y=\frac{1}{3}\) (C) a removable discontinuity at \(x=3\) (D) an infinite discontinuity at \(x=3\)

\(\lim _{x \rightarrow 0} \sin \frac{1}{x}\) is (A) \(\infty\) (B) 1 (C) nonexistent (D) -1

Which statement is true about the curve \(y=\frac{2 x^{2}+4}{2+7 x-4 x^{2}} ?\) (A) The line \(x=-\frac{1}{4}\) is a vertical asymptote. (B) The line \(x=1\) is a vertical asymptote. (C) The line \(y=-\frac{1}{4}\) is a horizontal asymptote. (D) The line \(y=2\) is a horizontal asymptote.

\(\lim _{x \rightarrow \infty} \frac{2 x^{2}+1}{(2-x)(2+x)}\) is (A) -2 (B) (C) 2 (D) nonexistent

\(\lim _{x \rightarrow 0} \frac{|x|}{x}\) is (A) 0 (B) nonexistent (C) 1 (D) -1

\(\lim _{x \rightarrow \infty} x \sin \frac{1}{x}\) is (A) 0 (B) nonexistent (C) -1 (D) 1

\(\lim _{x \rightarrow \pi} \frac{\sin (\pi-x)}{(\pi-x)}\) is (A) 1 (B) 0 (C) \(\pi\) (D) nonexistent