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R(t) = t^2+t / t^2 +4t =
Peak or instantaneous throughputs (PT) measure values useful for systems that rely on bursts of data in a CAT5e cable. Unlike continuous streaming, information travels in short bursts. For example, during in-class demonstrations, a computer lab's user experiences high traffic usage spikes on a very high-bandwidth that are transmitted over a relatively short period of time. Activity is important during these in-use peak times. Peak rates are measured limits taken with respect to throughput as time approaches zero. So for the above function, use algebraic techniques and limit theorems to show the work details for calculating the following limit:
PT = lim R(t)
t → 0
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