# 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?

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