Limits and Continuity

• 1

• 0

• $\frac{-1}{\ 2}$

• $\infty$

• 1

• 0

• -1

• $\infty$

• 0

• 1

• $\frac{1}{4}$

• $\infty$

• 1

• 0

• - 1

• nonexistent

• 1

• 3

• 6

• $\infty$

• - 2

• $\frac{-1}{4}$

• 1

• 2

• $=\frac{1}{5}$

• $=1$

• $=5$

• does not exist

• 0

• 1

• 3

• $\infty$

 $\ The\ graph\ f\left(x\right)\ =\ \frac{4}{x^2-1}\ has\$  

• one vertical asymptote, at x=1 

• the y-axis as its vertical asymptote 

• the x-axis as its horizontal asymptote and  $x=\pm1$  as its  vertical asymptote 

• two vertical asymptote and  $x=\pm1$  , but no horizontal asymptote 

• is continuous everywhere

• is continuous except at x = 0

• has a removable discontinuity at x = 0

• has an infinite discontinuity at x = 0