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Understanding Limits and Limit Laws

Understanding Limits and Limit Laws

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Easy

CCSS
6.EE.A.2C, HSA.APR.D.7

Standards-aligned

Created by

Emma Peterson

Used 1+ times

FREE Resource

Standards-aligned

CCSS.6.EE.A.2C
,
CCSS.HSA.APR.D.7
The video tutorial explains how to evaluate limits using limit laws. It covers examples including the limit of a difference, the limit of a square root, the limit of a natural logarithm, and the limit of a quotient. Each example demonstrates the application of specific limit laws to find the exact value of the limit as x approaches a given point.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using limit laws in evaluating limits?

To approximate values of functions

To find exact values of functions

To avoid using calculus

To simplify complex expressions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Part A, what is the result of evaluating the limit of f(x) - 8 * g(x) as x approaches 8?

8

-7

57

64

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which limit law is used to evaluate the limit of a difference?

Limit of a product

Limit of a quotient

Limit of a sum

Limit of a difference

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Part B, what is the limit of the square root of h(x) as x approaches 8?

4

8

2

16

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the limit of the natural log of h(x) as x approaches 8?

Natural log of 2

Natural log of 4

Natural log of 16

Natural log of 8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which limit law is applied to evaluate the limit of a natural log?

Limit of a difference

Limit of a natural log

Limit of a product

Limit of a sum

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the final example, what is the result of the limit of f(x) / g(x) as x approaches 8 plus 1?

1

8

158

57

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