32: If you tried the l'Hospital rule, you should get

The problem is finished.

If you went the alternative way, you should have identified n as the dominant term in the numerator and eⁿ as the dominant term in the numerator. Thus the next step should have been

Two steps were not worked out. It is a standard fact that the first ratio, n divided by eⁿ, tends to zero; this can be easily checked using the l'Hospital rule. Using l'Hospital one also easily checks that the ratio ln(n) divided by n also goes to zero.

Answer