Limit of a floor sum
76932
How to show $\lim_{n \to \infty} a_n = \frac{ [x] + [2x] + [3x] + \dotsb + [nx] }{n^2} = x/2$?
27844
How do we prove that $\lfloor0.999\cdots\rfloor = \lfloor 1 \rfloor$?
21802
Prove $\sum_{d \leq x} \mu(d)\left\lfloor \frac xd \right\rfloor = 1 $
5054
Calculate $\sum\limits_{k=0}^{\infty}\frac{1}{{2k \choose k}}$
139356
How to find the limit of a sequence?
113172
Please show me how to calculate the folowing limit of a sequence
123568
Solving limit given a limit
130307
Limits under multiple \sum
45480
Does $\sum\frac{(-1)^{\lfloor \sqrt n\rfloor}}{ n}$ converge?
37059
limit of the sum $\frac{1}{n+1}+\frac{1}{n+2}+\cdots+\frac{1}{2n} $
113237
Find the sum of the roots of the floor equation
78440
Challenging $\lim_{x \rightarrow 10} \frac{1}{\lfloor x \rfloor} = \frac{1}{10}$ for $\epsilon=\frac{1}{2}$.
131456
Calculate $\lim_{n\to\infty} \sum_{k=1}^{n} \Big(\frac{k}{n}\Big)^{\alpha k}$
67420
Limit of quotient sequence
32744
A clarification in a limit
71394
Prove the following floor function identity
13750
Position the limits of Sum