Define a function for by

Prove that

* Proof. * First, we compute and using the definition of above, and the properties of the exponential established in the previous exercise (Section 6.17, Exercise #36), we have

Therefore,

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Stumbling Robot

A Fraction of a Dot
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Show that a given function satisfies a functional equation

Define a function for by

Prove that

* Proof. * First, we compute and using the definition of above, and the properties of the exponential established in the previous exercise (Section 6.17, Exercise #36), we have

Therefore,