# A calculus problem by crazy singh

Calculus Level 2

if

$$\lim _{ x\to \infty } \frac { \ln { { x }^{ n } } - \left[ x \right] }{ \left[ x \right] } = a$$

where $$\left[ x \right]$$ denotes the integral part of $$x$$

Then $${ a }^{ 2 }$$ is equal to ?

note: $$n$$ is any real number.

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