P$12.$ The sender side of $rdt3\mathrm{.}0$ simply ignores $($that is$,$ takes no action on$)$ all received packets that are either in error or have the wrong value in the acknum field of an acknowledgment packet. Suppose that in such circumstances, rdt $3\mathrm{.}0$ were simply to retransmit the current data packet. Would the protocol still work? $($Hint$.$ Consider what would happen if there were only bit errors; there are no packet losses but premature timeouts can occur. Consider how many times the $n$th packet is sent, in the limit as $n$ approaches infinity.$)$