${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{d_0}{x^2\sqrt[\phantom{2}]{4-x^2}}=($Hint: Une the trigonometric substitutions$)$

A$)\frac{\sqrt[\phantom{2}]{4-x^2}}{4}+C$

B$)-\frac{\sqrt[\phantom{2}]{4-{}^2}}{4z^2}+C$

C$)\frac{\sqrt[\phantom{2}]{4-x^2}}{x}+C$

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}\frac{dx}{x^2-3x-4}=\frac{1}{8}ln|\frac{x-4}{x+1}|+C($Hint: Use the partial fractions$)$

A$)$ False

$-)$ True

${\displaystyle \underset{1}{\overset{2}{}}}\frac{1}{1-x}dx$

A$)$

B $-$

C$)0$

$14.$ The sequence $\{\frac{1}{3^n}{\}}_1^{}$

converges

B$)$ diverges

C$)$ can not determine

$15.$ The sequence $\{\frac{n!}{n^n}{\}}_1^{}$

A$)$ converges

B$)$ diverges

C$)$ can not determine

$16.$ The sequence $\{\frac{n!}{3^n}{\}}_1^{}$

A$)$ eventually strictly increasing

B$)$ eventually strictly decreasing

C$)$ decreasing

$17.$ The series ${\displaystyle \underset{k=1}{\overset{}{}}}(\frac{2}{3}{)}^{k+2}$

A$)$ diverges

B$)$ converges to $\frac{9}{8}$

r$)$ converges to $\frac{8}{9}$

$18.$ The series ${\displaystyle \underset{k=1}{\overset{}{}}}\frac{1}{\sqrt[3]{k}}$

A$)$ converges

B$)$ diverges

C$)$ can not determine

$19.$ Using the comparison test, the series ${\displaystyle \underset{k=1}{\overset{}{}}}(\frac{5si{n}^{2}k}{k!})$

A$)$ can not determine

$P,$ diverges

C$)$ converges

$20.$ Using the limit comparison test, the series ${\displaystyle \underset{k=1}{\overset{}{}}}(\frac{4k^2-2k+6}{8k^7+k-8})$

A$)$ diverges

B$)$ can not determine

converges