Instructional Video
Sophia Learning

Sophia: Multiply and Substitute Method: Lesson 1

9th - 10th
The method of multiplying a function by a value of one then substituting to find an indeterminate limit is discussed here. This lesson is 1 of 5 in the series titled "Multiply and Substitute Method."
Instructional Video
Sophia Learning

Sophia: Multiplying to Find an Indeterminate Limit: Lesson 2

9th - 10th
This lesson shows how an indeterminate limit may be found by first multiplying the numerator and denominator of the function by a carefully picked factor. It is 2 of 8 in the series titled "Multiplying to Find an Indeterminate Limit."
Instructional Video
Sophia Learning

Sophia: Multiplying to Find an Indeterminate Limit: Lesson 7

9th - 10th
This lesson shows how an indeterminate limit may be found by first multiplying the numerator and denominator of the function by a carefully picked factor. It is 7 of 8 in the series titled "Multiplying to Find an Indeterminate Limit."
Instructional Video
Sophia Learning

Sophia: Multiplying to Find an Indeterminate Limit: Lesson 8

9th - 10th
This lesson shows how an indeterminate limit may be found by first multiplying the numerator and denominator of the function by a carefully picked factor. It is 8 of 8 in the series titled "Multiplying to Find an Indeterminate Limit."
Instructional Video
Sophia Learning

Sophia: Multiplying to Find an Indeterminate Limit: Lesson 1

9th - 10th
This lesson shows how an indeterminate limit may be found by first multiplying the numerator and denominator of the function by a carefully picked factor. It is 1 of 8 in the series titled "Multiplying to Find an Indeterminate Limit."
Instructional Video
Sophia Learning

Sophia: Undefined and Indeterminate Limit Values: Lesson 2

9th - 10th
The concepts of undefined and indeterminate limits, and their dependence on the values of the numerator and denominator of a rational function are discussed here. This lesson is 2 of 5 in the series titled "Undefined and Indeterminate...
Instructional Video
Sophia Learning

Sophia: Undefined and Indeterminate Limit Values: Lesson 3

9th - 10th
The concepts of undefined and indeterminate limits, and their dependence on the values of the numerator and denominator of a rational function are discussed here. This lesson is 3 of 5 in the series titled "Undefined and Indeterminate...
Instructional Video
Sophia Learning

Sophia: Undefined and Indeterminate Limit Values: Lesson 4

9th - 10th
The concepts of undefined and indeterminate limits, and their dependence on the values of the numerator and denominator of a rational function are discussed here. This lesson is 4 of 5 in the series titled "Undefined and Indeterminate...
Instructional Video
Sophia Learning

Sophia: Undefined and Indeterminate Limit Values: Lesson 5

9th - 10th
The concepts of undefined and indeterminate limits, and their dependence on the values of the numerator and denominator of a rational function are discussed here. This lesson is 5 of 5 in the series titled "Undefined and Indeterminate...
Instructional Video
Sophia Learning

Sophia: Undefined and Indeterminate Limit Values: Lesson 1

9th - 10th
The concepts of undefined and indeterminate limits, and their dependence on the values of the numerator and denominator of a rational function are discussed here. This lesson is 1 of 5 in the series titled "Undefined and Indeterminate...
Instructional Video
Sophia Learning

Sophia: Finding an Indeterminate Limit With a T Chart: Lesson 4

9th - 10th
This lesson shows how an indeterminate limit may be found for an element of the domain of a function by constructing a T chart. It is 4 of 7 in the series titled "Finding an Indeterminate Limit with a T Chart."
Instructional Video
Sophia Learning

Sophia: Multiply and Substitute Method: Lesson 4

9th - 10th
The method of multiplying a function by a value of one then substituting to find an indeterminate limit is discussed here. This lesson is 4 of 5 in the series titled "Multiply and Substitute Method."