36: This looks like "infinity over infinity". Since this is an indeterminate ratio, one option would be to try the l'Hospital rule. However, this would not be the best idea, since differentiating x^x leads to more complicate things. If you want a good challenge, try it.

Is there a better way? Well, this fraction features just powers (albeit general in one case), so what about the box "polynomials and ratios with powers" and intuitive calculations? When n grows large, the "−1" can be ignored and the scale of powers says that the general power in the numerator dominates over the square in the denominator, so the limit should be infinity. How to prove it?

The only hope is algebra. Note that to show that a sequence tends to infinity, it is enough to find a lower estimate that tends to infinity. This allows you to get rid of "−1" cheaply, by comparison. Write down the rest and look at it hard, you should get some idea for a nice lower estimate.

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