Limits question help me please?

I have to find the limit of the following:

$$\lim_{x\to\infty}{\frac{(x+1)(x^2+2)...(x^n+n)}{[(nx)^n+1]^{\frac{n+1}{2}}}}$$

I tried to find the logarithm of the upper side and lower side but it didn't work..what shall I do?

via Recent Questions - Mathematics - Stack Exchange http://math.stackexchange.com/questions/294440/limits-question-help-me-please