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Taylor Series Introduction

Explore the fundamentals of Taylor Series, including their definition, common expansions, and applications in approximating functions for Grade 9 Math.

Grade 9 Math CalculusTaylor Series
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.B.3CCSS.MATH.CONTENT.HSF.IF.C.7.E

Topics

MathCalculusTaylor SeriesApproximationGrade 9
7 sections · Free to use · Printable
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Taylor Series Introduction

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Read each question carefully and provide your best answer. Show all your work for full credit.

1. What is the primary purpose of a Taylor series?

2. A Taylor series expands a function into an infinite sum of   terms.

3. The point around which a Taylor series is expanded is often called the center of the  .

4. Which of the following functions is a common example of a Taylor series expansion around x = 0?

a

x² + 2x + 1

b

sin(x)

c

log(x)

d

√x

5. A Taylor series can only be used to approximate polynomial functions.

T

True

F

False

6. Consider the function f(x) = e^x. Write down the first three non-zero terms of its Taylor series expansion around x = 0.