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Numerade Educator



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} $




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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?