Q4-limits at infinity and continuity

Which condition(s) of continuity fails at x = 1?

• f(1) is undefined

• f(x) satisfies all continuity conditions

• -7

• 0

• 1

• DNE

Which of the following best describes the function at x = 2?

• Continuous

• Removable Point Discontinuity

• Infinite Discontinuity

• Jump Discontinuity

• -1

• 3

• The vertical asymptote is

  x = -2

• The horizontal asymptote is at

  y = -2

• f(x) is continuous at x = -2 

• f(x) is NOT continuous at

  x = -2

• continuous

• discontinuous, essential

• discontinuous, removable

• discontinuous, jump

What is the limit of the graph above when x approaching 0?

• 0

• −∞

• ∞

• DNE

Identify the discontinuity at x = 1.

• removal

• infinite

• jump

• none of the above

Classify the function as continuous or classify its discontinuity.

• Continuous!

• Discontinuous-removable

• Discontinuous-jump

• Discontinuous-infinite