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Math · Calculus
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2 e on 6 (-2) n 5n4 3. Consider the following sequences: Replace n by r and use LHopitals Rule to find the limit of each as r tends to infinity 4 ach of the following sequences has limit 0: 10m a) For each sequence, state exactly how large n must be to ensure that the term an of the sequence (and all subsequent terms as well) satisfy lan 10-4 b) Similarly, how large must n be to ensure that lan 10-8? c) From this information, explain which sequence approaches o most rapidly and which approaches 0 least rapidly. 5. If n functions of n fall in a definite increasing order, so is sufficiently large, the following that precedes it. List the function that each function is very much larger than the one below in order of size from smallest to largest 2/3 n Inn, 2 ln m n, n ld nl fit in this list? Explain

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