THEOREM 10.6 Growth Rates of Sequences The following sequences are ordered according to increasing growth rates as n→ 0; that is, if {a,} appears before {b,} in the list, then lim nx b. = 0 and lim = 00: {In° n} « {n®} « {n° In´n} « {n®**} « {B*} « {n!} « {r®}. The ordering applies for positive real numbers p, q, r, s, and b > 1.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.