Limit and Fraction Simplification Concepts

Limit and Fraction Simplification Concepts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find limits as X approaches a constant C. It begins with direct substitution and addresses indeterminate forms like division by zero. The tutorial then demonstrates simplifying a complex fraction by finding a common denominator and using algebraic manipulation. Finally, it shows the calculation of the limit and corrects any errors, resulting in a final answer of negative 1/16.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the limit of a function as X approaches a constant?

Simplify the function algebraically

Directly substitute the constant into the function

Use a table to estimate the limit

Use a graph to estimate the limit

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is direct substitution not always possible?

It requires a calculator

It can result in indeterminate forms

It is too complex

It is only for linear functions

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if direct substitution results in an indeterminate form?

Try to eliminate the problem algebraically or use a graph or table

Assume the limit does not exist

Use a calculator to find the limit

Ignore the problem

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an example of an indeterminate form?

0/0

1/1

0/1

1/0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the problem discussed in the video?

Integrating a polynomial function

Solving a quadratic equation

Finding the limit as X approaches zero of a complex fraction

Finding the derivative of a function

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in simplifying the complex fraction?

Add the fractions in the numerator

Find a common denominator for the fractions in the numerator

Divide the numerator by the denominator

Multiply the numerator and denominator by zero

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of finding a common denominator?

To add fractions

To multiply fractions

To simplify the expression

To divide fractions

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