44: The first step is to simplify the powers and root. Then, when n grows large, the "+1" and "−1" parts in the ratio can be ignored. Thus the type is

This is an indeterminate power, and the standard procedure can be applied: Use the "e to ln" trick and pass to the limit of the expression inside the exponential.

Note that it is not possible to change the limit directly into a form leading to an e^c-type limit, see the box "exponential". However, it can be done with a bit more work. As an alternative thread we will also explore this way here. If you want to try it, first try to change the basis of the exponential to the appropriate form.

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