What is the interval of convergence when r = (x^2+2)/4 ?

[uncut kestrel]

I'm having trouble with this because my textbook is telling me it's $-\sqrt{2}<x<\sqrt{2}$ but that makes absolutely no sense. Please help

[wise ermine]

malignity_(&self)

[untold coral]

Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.

[uncut kestrel]

I can't find the original but here is another occurance of my issue.

I don't see how they arrived at that interval of convergence given that r

[modest vapor]

It's basically a geometric series that is convergent if |q| < 1

[wise ermine]

adonhs

adonhs

[uncut kestrel]

what da hellll

how do you solve it agebricially sir

[uncut kestrel]

don't just give the answer. I already have that. I'm asking for how you derived the answer.

[modest vapor]

?

[uncut kestrel]

demonstrate this

[modest vapor]

Solve this

[uncut kestrel]

too much work

you do it

how to close post

[modest vapor]

type .solved

[uncut kestrel]

.solved

[untold coral]

Solved

Post marked as solved by @uncut kestrel.

Use .unsolved if this was a mistake.