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Mathematics
Mathematics
Problem
Evaluate
lim
x
→
∞
log
x
n
−
[
x
]
[
x
]
\lim_{x \to \infty} \frac{\log x^n - [x]}{[x]}
lim
x
→
∞
[
x
]
l
o
g
x
n
−
[
x
]
, where
n
∈
N
n \in \mathbb{N}
n
∈
N
and
[
⋅
]
[\cdot]
[
⋅
]
is greatest integer function
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