Problem

Find a power series representation for $ f, $ and…

02:55

Problem 21 Easy Difficulty

Find a power series representation for $ f, $ and graph $ f $ and several partial sums $ s_n(x) $ on the same screen. What happens as $ n $ increases?
$ f(x) = \frac {x^2}{x^2 + 1} $

Answer

$$(-1,1)$$

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 9

Representations of Functions as Power Series

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 11

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

The problem is, find our power serious. Represent patient for half Andi graph off on several partial sums as in on the same screen. What happens as increases. So first we have to following Equation one over one minute Sachs is equal to one plus explosive. Exc lawyer plus X Cube class started. One ax. Absolutely want you off. Axis is last. You have axe is the cord to ex Squire Ham's one over one minus negative X koi, this one over one under sacks. It's the call to some and from zero to infinity, Execute INSP. Hour on will replace Axe by negative X Square. Well, how this's the corn, too. X squared hams, some of it from zero to infinity, Conectiv X Square to the power off. I mention it is because you, some from zero to infinity, makes you want to the part off. And Tom's ex the power off to hand us, too. Then hear this axis of Somalia off Axe is last. Someone unless Look, guys, it's a graph with the function. So the writer curve is the graph at the function after backs. The blue curve is I swan green cuff. It is as for on DH is our into true. If this is, I sell it so we can think that has any increases. As in Ax becomes a badger approximation to the function after blacks. One acts is between next one on what?

Wen Z.