Limits

For a limit to exist, the left and the right hand limits must be equal.

• true

• false

Which of the following must be true for a function to be continuous at a point, a? (select all that apply)

• f(a) must exist

• the limit as x approaches a must exist

• the function has to go to infinity

• f(a) and the limit as x approaches a must be equal

• you won't need to do any factoring/simplifying when finding the limit

Classify the function as continuous or classify its discontinuity.

• Continuous!

• Discontinuous with a removable discontinuity

• Discontinuous with a jump discontinuity

• Discontinuous with an infinite discontinuity

Tags

CCSS.HSF-IF.C.7B

Classify the function as continuous or classify its discontinuity.

• Continuous!

• Discontinuous with a removable discontinuity

• Discontinuous with a jump discontinuity

• Discontinuous with an infinite discontinuity

Tags

CCSS.HSF-IF.C.7B

Find where the function is continuous

• (-∞,-1)(-1,3)(3,∞)
• (-∞,∞)
• (-∞,-3)(-3,1)(1,∞)
• (-∞,-2)(-2,3)(3,∞)

Tags

CCSS.HSF-IF.C.7C

Which of the following best describes the continuity at x = 0?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7B

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

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7D

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

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF.BF.B.3

Which of the following best describes the continuity at x = 1?

• Continuous
• Removable Point Discontinuity
• Non-removable Infinite Discontinuity
• Non-removable Jump Discontinuity

Tags

CCSS.HSF-IF.C.7B

Find the limit as x approaches -2.

• 4

• 3

• 2

• DNE

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3