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6. Obtain asymptotic growth rates for the following. All logarithms are to the base 2. (a) (log 2)/2 + ... + (log n), where a
6. Obtain asymptotic growth rates for the following. All logarithms are to the base 2. (a) (log 2)"/2 + ... + (log n)", where a 2-1. Consider the case a=-1 separately. (b) 2 log 2 + ... + na log n, where a 2-1. Consider the case a=-1 separately. (c) Generalize the above problems and consider the sum 2 (log 2) + 3* (log 3) + ... +n(log n). Use various combinations of values of O., B. 6. Obtain asymptotic growth rates for the following. All logarithms are to the base 2. (a) (log 2)"/2 + ... + (log n)", where a 2-1. Consider the case a=-1 separately. (b) 2 log 2 + ... + na log n, where a 2-1. Consider the case a=-1 separately. (c) Generalize the above problems and consider the sum 2 (log 2) + 3* (log 3) + ... +n(log n). Use various combinations of values of O., B
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