Why is the function f (x) = Sum (x ^ n, n, 0, infinity) in the interval] -10,10 [and not in] -1,1 [

feliperioseco2001 shared this question 2 years ago

Answered

Geometric series of ratio x

Files: Screenshot_2021...

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Comments (7)

mire2 ● 2 years ago

Salut feliperioseco,

hmm, I guess it's only a graphical glitch.

Try to zoom in and probably you get more ...

/nykfU737mWXkMO+t3jQb9zHmSZ86DfGY1Vb9LICgDA5BhZxzR8xCU0Gjw0ZNmQg0dajwc3mdO48cj6oQ9dPrJ+97vX0mvIQb97POh3zoMscx70O6Ox6k3+H+bvxpHETkaGAAAAAElFTkSuQmCC

Kind regards

mire2

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feliperioseco2001 ● 2 years ago

I thought that by the convergence's radio of the serie the domain should be restricted

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Michael Borcherds ● 2 years ago

It's simplifying it to 1/(1-x) as you can see from your screenshot

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feliperioseco2001 ● 2 years ago

geogebra can indicate the convergence's radio of a serie in some way?,either with one command or a combination of them

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Michael Borcherds ● 2 years ago

Sorry, no

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mathmagic ● 2 years ago

intenta un limite con el criterio del cociente o el de la raiz hasta que encuentres uno en el que no te sirva

es evidente que no hay un metodo infalible para todos los casos de este tipo de problema pero la mayoria pueden ser resueltos con esos criterios. los bordes del intervalo ya son de otra dificultad

si fuera facil no habria decenas de criterios

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feliperioseco2001 ● 2 years ago

thank you!!!

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