33: You should get

This indeterminate ratio looks standard and no obvious algebraic simplification presents itself, so apply the L'Hospital rule.

By the way, note that zero in logarithm is a bit tricky and it had to be investigated closer. Fortunately, since n > 0, one also has 1/n > 0, so the zero is approached from the positive side, that is, it is 0+.

In fact, this touches on a serious issue. The question itself makes sense only because for natural numbers n, the numbers sin(1/n) are positive and therefore they can be put into logarithm.

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