Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**Johnathon bresly****Guest**

What is the difference between absolute and conditional convergence?[examples will be appreciated]

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 81,417

**In mathematics, you don't understand things. You just get used to them.I have the result, but I do not yet know how to get it.All physicists, and a good many quite respectable mathematicians are contemptuous about proof.**

Offline

**scientia****Member**- Registered: 2009-11-13
- Posts: 222

The sequence is absolutely convergent iff both and converge.

It is conditionally convergent iff converges while diverges.

Examples.

is absolutely convergent. We have and .

is conditionally convergent. We have while is divergent.

Offline

Pages: **1**