Problem

Find the first three nonzero terms of the Taylor …

Problem 20 Easy Difficulty

Find the first three nonzero terms of the Taylor expansion for the given function and given value of a. $$x e^{-x} \quad(a=-1)$$

Answer

$f(x)=-c+2 c(x+1)-\frac{3}{2} c(x+1)^{2}+\cdots$

Related Courses

Calculus 2 / BC

Basic Technical Mathematics with Calculus

Chapter 30

Expansion of Functions in Series

Section 5

Taylor Series

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 30

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Video Transcript

In this video, we find the 1st 4 nonsense terms off the Taylor series for the given function. A formal office Tillerson is generated by If he's some off cape before 20 to Infinity. The case dirty off if zero divided by K Factorial, Times Explorer Kate Let's first find if it F zero so we replace Exploit zero it. But if and we have, If zero is according to one, then we are supposed to find the first derivative off. If at zero, it is a call to tree on the second day, we give off. F zero is 1/4 12 on the 3rd 1 is a courtroom 60 based on their formula. The Taylor series Off the function one minus X over minus three. He's been called to a zero plus if crime off zero kinds. Eggs, plus the second derivative off. If I had zero divided by two for courier kinds exist world class. The tear primitive octave at zero, divided by three factory all kinds excuse. After simply flying, we have the 1st 400 grams off the Taylor series for the given function. Hope you enjoyed watching this video, and thanks for watching

We have video lessons for 0.06% of the questions in this textbook

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

View More Answers From This Book

Find Another Textbook

Problem