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Dominance Relationships for Sequences: Order the following sequences by dominance when a>0andb>1

k!

Short Answer

Expert verified

The required order of dominance sequence islnk<<ka<<bk<<k!

Step by step solution

01

Step 1. Given information

The given expression isk!

02

Step 2. Explanation

Use the concept of dominance relationships for simple sequences,

For any real number a>0andb>1, the following string of dominance holds.

lnk<<ka<<bk<<k! for k sufficiently large.

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