Calculus Review Practice Limits & Product/Quotient Rules

What is the limit?

• DNE
• Infinity
• 6
• 12

Find the limit as x approaches 3 from the left

• 4
• 3
• 2
• DNE

• 0
• -1
• infinity
• -infinity

What is the limit?

• Infinity
• 20
• DNE
• 12

• Does not exist
• 2
• 0
• 1

Does the following function is continuous at x=0?

• Continuous

• Discontinuous

One of the conditions a function must satisfy to be continuous at a number is "f(c) must exist"

• TRUE

• FALSE

Tags

CCSS.HSF.BF.B.3

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

Calculate the Difference Quotient of

• 5x +10h - 4

• -2x +10h - 4

• -5x -10h + 4

• -10x -5h - 4

Tags

CCSS.HSF-BF.A.1C

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x²