Q. Xa is a convergent sequence in R^n where Xa->X as a-> infinity. Use epsilon-delta proof to prove that, in two possibly cases, BXa -> BX as a-> infinity (where B is in R).

I tried using the Squeeze Theorem. (Since Xa-X -> 0 as a -> infinity,

B(Xa-X) -> 0 as a -> infinity). But don't know how there are two cases and whether this proof can be expressed as epsilon-delta proof.

Any help would be greatly appreciated.

Thanks.