At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

Interval of convergence I have correct, -0.5 < x < 0.5 by solving the conjunction"
|2x-1|<0

See what I mean @Spacelimbus ? This is the second time I've seen this type of problem, so there's some concept here about radius of convergence I'm not understanding I guess...

I made an educated guess on zero after 1/9 and \(\infty\) failed to be correct

Graphing this on a TI-83 shows it variates, it's not constant at zero.

man this is bugging me!!

if x=1/n, the the sum converges!! but i haven't seen radius of interval in terms of n

yes @experimentX, usually they neatly cancel out.

1/9

I believe what @experimentX said would work for both answers @agentx5

Oh bigger picture question to this then: What IS the radius of convergence, really?

it's a point

|dw:1343149575540:dw|

Ah and by the squeeze theorem it's just 1/9. :-)

Thank you for your assistance gentlemen :-)

Whoa! Cauchy what?! D'Alembert what?! Never heard of those lol >_<

I'm impressed!

lots of and lots of convergence test
http://en.wikipedia.org/wiki/Convergence_tests