Question

Proof \lim_{n \rightarrow ?\infty}n \sqrt{n ^{2}-n} =\frac{ 1 }{ 2 }

Answer 1

\[\lim_{n \rightarrow ?\infty}n \sqrt{n ^{2}-n} =\frac{ 1 }{ 2 }\]

So... what are your question?

Answer 2

proof

Answer 3

let y=1/n
as n->infinity, y->0
replace all n by 1/y

Answer 4

i don't understand

Answer 5

check your question, its actually infinity
http://www.wolframalpha.com/input/?i=lim+n-%3E+infinity++n+sqrt%28n%5E2-n%29&dataset=

Answer 6

the question is: proof \lim_{n \rightarrow \infty}n \sqrt{n ^{2}-n} =\frac{ 1 }{ 2 }

Answer 7

\[and another; proof \lim_{n \rightarrow \infty}0.99...9=1\]