Limits and Derivative Practice

A function is continuous if the limits to left and right exist, and are equal to each other.

• True
• False

Answer explanation

The limit from the left, the limit from the right, AND the value (the middle) must be equal to each other.

If f(x) is continuous on [a,b], and f(0) is positive and f(4) is negative, then f(c) must equal 0 where c is between [0,4]

• True
• False

Answer explanation

This is Intermediate Value Theorm

Find the limit as x approaches 4

• 1

• 5

• 0

• DNE

Answer explanation

It doesnt matter what happens AT the value, it matters what happens from the left and right of the value.

Find the limit as x approaches 7⁺

• 1

• 5

• 0

• DNE

Find f(4)

• 1

• 5

• 0

• DNE

Tags

CCSS.HSF.IF.A.2

Find the limit as x approaches 7

• 1

• 5

• 0

• DNE

Select all the values where f(x) is NOT continuous

• 1

• 4

• 5

• 9

What is the limit?

• 5/2
• -2/3
• Infinity
• 17/3

What is the limit?

• DNE
• Infinity
• 6
• 12

• 1/2
• 0
• Positive Infinity
• Negative Infinity