Thread: pointed convergence..

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

??

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

Tonio

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.