Sunday

February 1, 2015

February 1, 2015

Posted by **Bob** on Wednesday, September 22, 2010 at 6:12pm.

- calculus -
**MathMate**, Wednesday, September 22, 2010 at 6:22pmThe ratio test or the n-th root test does not indicate absolute convergence at the end-points.

In general, the radius of convergence is defined for absolute convergence, so if a test for the end-point(s) yield a conditional convergence, the radius of convergence remains an open interval, i.e. the end-points are excluded.

**Answer this Question**

**Related Questions**

calculus - for the series is absolutely convergent and convergent the series ...

calculus - for the series is absolutely convergent and convergent the series ...

trig - for the geometric series shown, state whether the series in convergent. ...

Calculus - Show that the following series is absolutely convergent: Summation ...

calculus - for each series determine if the series is absolutely convergent and ...

calculus - does this series converge, and if so is it absolutely convergent? the...

calculus - does this series converge, and if so is it absolutely convergent? the...

calculus - for each series determine if the series is absolutely convergent and...

trig - for the geometric series shown, state whether the series in convergent. ...

calculus - determine if the series is absolutely convergent and convergent. the ...