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