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Mathematics
Mathematics
Problem
lim
x
→
∞
log
x
n
−
[
x
]
[
x
]
,
n
∈
N
\lim_{x \rightarrow \infty} \frac{\log x^n - [x]}{[x]}, n \in N
lim
x
→
∞
[
x
]
l
o
g
x
n
−
[
x
]
,
n
∈
N
, (
[
x
]
[x]
[
x
]
denotes greatest integer less than or equal to
x
x
x
) (a) Has value
−
1
-1
−
1
(b) Has value
0
0
0
(c) Has value
1
1
1
(d) Does not exist
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