If the following holds:

$ \lim_{n\to\infty}\frac{u_n}{v_n}=l,\quad u_n>0,\ v_n>0,\ l\ne 0 $ then choose the correct option:

(a) $\sum u_n$ and $\sum v_n$ converge together

(b) $\sum u_n$ diverges and $\sum v_n$ converges

(c) $\sum u_n$ converges and $\sum v_n$ diverges

(d) Neither $\sum u_n$ converges nor $\sum v_n$ diverges