pointed convergence..

**transgalactic** · November 11th 2009, 03:45 AM

i dont know if its the correct term.

http://i34.tinypic.com/2eozlns.jpg

pointed convergence says that it convergence on a certain point.

i know from calculus some tests that say if a series converges or not

but here its so different

??

**tonio** · November 11th 2009, 04:14 AM

Originally Posted by transgalactic

i dont know if its the correct term.

http://i34.tinypic.com/2eozlns.jpg

pointed convergence says that it convergence on a certain point.

i know from calculus some tests that say if a series converges or not

but here its so different

??

What is, for any $x\in [-1,1]\,,\,\,\lim_{n\rightarrow \infty}n\sqrt{|x|}e^{-n^2x^2\slash 2}\,\,?$

Tonio

**HallsofIvy** · November 11th 2009, 04:22 AM

Originally Posted by transgalactic

i dont know if its the correct term.

http://i34.tinypic.com/2eozlns.jpg

pointed convergence says that it convergence on a certain point.

i know from calculus some tests that say if a series converges or not

but here its so different

??

"Pointwise convegence" would be the standard English term.

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