# Math Help - Abstract questions(cont)

1. ## Abstract questions(cont)

Separate thread so not too many questions are in one thread

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

Thanks for any help!!!

2. ## Re: Abstract questions(cont)

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 $\epsilon/|c|$ .