Theorem 6.5 (page 240 of Apostol) states that if and if then

with

Let and and apply this theorem to approximate with sufficient precision to obtain

By the theorem we have

where

Therefore, letting and we have

Therefore,

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Stumbling Robot

A Fraction of a Dot
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Calculate approximations to * log 2 *

Theorem 6.5 (page 240 of Apostol) states that if and if then

with

Let and and apply this theorem to approximate with sufficient precision to obtain

By the theorem we have

where

Therefore, letting and we have

Therefore,