30: The fraction in the exponent is a ratio of polynomials and it is of the type . One can guess that the "+1" part can be ignored when n is large, what is left is n/n = 1. The easier way to prove this is to determine leading terms in the fraction and factor them out, even easier is to cancel the leading term.

One might be tempted to use l'Hospital's rule, but it only applies to fractions. In order to "get the limit to the fraction" one would have to pull the x out of it, but that is not possible, since we cannot pull variable out of the limit. Thus this approach is not possible.

Next hint
Answer