Precisely one bit of information arrives to a processor every microsecond. The processor requires an exponentially distributed amount of time with rate \(\ln (4)\) per microsecond to analyze a bit and then proceed to the next bit. Find the limit as \(n \longrightarrow \infty\) of the probability that two or fewer bits are waiting to be processed at the time of arrival of the \(n^{\text {th }}\) bit.