Previous expression is known as an infinite surd. We can turn the surd in to a following sequence:

etc.

From the 10 first terms of the sequence we can present the relation of two following terms as:

If we would like to study the relation between , plotting a graph from the 10 first terms of the sequence might bring some light to the matter. Graph 1 illustrates the relation between n and L in the case that

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As we can see from the graph the value of L slowly moves toward value of approximately 1,618 or so, but will never actually reach it. If we furthermore consider what this shows about the relation between  and , we can determine that in the case of

when n approaches infinity

lim() → 0

We can expand our point by taking another sequence build from infinite surd as an example. Let our

sequence be following.

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