Page 151 - 'Blast_Into_Math

Blast into Math! Analatic nummer theora: ants, ghosts and giants

So, we have proven that the sequence x n =1/n converges to 0 because it fits perfectly the

definition. We can write this as

1
lim =0.
n→∞ n

There is flexibility in choosing the giant number N ∈ N , because the giant number can be any integer
larger than 1/ . So, we can imagine that there are lots of giant numbers stomping around the number
line to the right of 1/ . The ghost number can choose any of these giant numbers to satisfy the definition
of limit. This flexibility is characteristic to analysis.

( 6 d d \6

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