# Abstract questions(cont)

• November 27th 2011, 09:02 PM
Johngalt13
Abstract questions(cont)

3)if an converges to a and bn converges to b, prove c*an converges to c*a

Thanks for any help!!!
• November 27th 2011, 11:56 PM
FernandoRevilla
Re: Abstract questions(cont)
Quote:

Originally Posted by Johngalt13
3)if an converges to a and bn converges to b, prove c*an converges to c*a

What has to do $b$ and $b_n$? I suppose you mean: If $a_n$ converges to $a$ then $ca_n$ converges to $ca$ . Hint: For $c=0$ the result is trivial. For $c\neq 0$ choose $\epsilon/|c|$ .