Problem 42 Easy Difficulty

Use a calculator to display (a) the function in the indicated exercise of this set and ( $b$ ) the first two terms of the Taylor series found for that exercise in the same display. Describe how closely the graph in part (b) fits the graph in part (a). Use the given values of $x$ for $X \min$ and $X \max$. Exercise $17 \text { (tan } x), x=0$ to $x=1.5$

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Calculus 2 / BC

Basic Technical Mathematics with Calculus

Chapter 30

Expansion of Functions in Series

Section 5

Taylor Series

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Video Transcript

Let's look at X Times T and in verse of X squared. Now let's go ahead and use the Taylor series expansion, often in verse expended about zero. So looks like this, these two the two n plus one. And here inside the parentheses. We haven't X squared because of our 10 inverse x squared. Okay, let's go ahead and multiply. We have X to the four end plus three. We get the extra copy of X because it's because the outside excess pulled it. So this is our Taylor series expansion.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Problem 42 Easy Difficulty

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Watch More Solved Questions in Chapter 30

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Anna Marie V.

Caleb E.

Kristen K.

Michael J.

Integration Review - Intro

Definite vs Indefinite

Basic Technical Mathematics with Calculus

Anna Marie V.

Caleb E.

Kristen K.

Michael J.

Integration Review - Intro

Definite vs Indefinite

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Anna Marie V.

Caleb E.

Kristen K.

Michael J.

Integration Review - Intro

Definite vs Indefinite

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus