In the following exercises, two sequences are given, one of which initially has smaller values, but eventually

Question:

In the following exercises, two sequences are given, one of which initially has smaller values, but eventually “overtakes” the other sequence. Find the sequence with the larger growth rate and the value of n at which it overtakes the other sequence.

a_n = n^1.001 and b_n = ln n¹⁰, n ≥ 1

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