Once again we start from the proposition that there exists a number such that and hence (see here for why the second follows from the first).
Here we go…
At this point we still have , an indeterminate number, so we need to look for a determinate form.
So we take this as:
Now we have , another indeterminate, but we can also apply L’Hospital’s rule.
This states that, (a proof to follow sometime).
Here , and, of course, .
And for the denominator , giving for the whole thing,
Hence , so .
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