AP Calc AB - Limits and Continuity

All review videos for limits and continuity are on www.khanacademy.org under AP Calculus. There are also practice problems there. The Path to a 5 packet you received in March is also a great resource to use this week!

• True

• False

What is the limit?  $\lim_{x\rightarrow6}\left(\frac{x^2-36}{x-6}\right)$  

• DNE

• Infinity

• 6

• 12

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Evaluate the limit:

• -7

• 0

• 1

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

 $\lim_{x\rightarrow\infty}\left(\frac{9}{x^2+1}\right)=$  

• Does Not Exist

• 9

• 1

• 0

 $\lim_{x\rightarrow0}\left(\frac{\left(\sqrt{9-x}-3\right)}{x}\right)$  

• 6

• 3

• 1/6

• -1/6

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

Which of the following best describes the continuity at x = 5?

• Continuous

• Removable discontinuity

• Non-removable discontinuity

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

• Vertical Asymptote

• Removable Discontinuity

Tags

CCSS.HSF-IF.C.7D

Find the value that will make the following continuous:

• c = -3

• c = -2

• c = -1

• c = 0

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

 $\lim_{x\rightarrow4}\left(x^2+3x-8\right)=$  

• ∞

• 20

• DNE

• 12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

 $\lim_{x\rightarrow3}\left(\frac{\left(\sqrt{x+1}-2\right)}{x-3}\right)=$  

• DNE

• 2/3

• 1/4

• ∞

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2