Question

Limits

Answer 1

Whats the question? ^_^

Answer 2

\[\LARGE \lim_{n \rightarrow \infty} \frac{1}{n}( \frac{n}{n+1}+\frac{n}{n+2}....\frac{n}{2n})=?\]

Answer 3

n/(n+t) = 1/(1+ t/n)

hence, you may convert this into the form of limit as a sum

Answer 4

amazing as always :")

Answer 5

\[\LARGE \lim_{n \rightarrow \infty} \sum_{r=1}^n \frac{1}{n}(\frac{1}{1+\frac{r}{n}})=\int\limits_0^1\frac{1}{1+x}dx\]
\[\Huge \log|1+x| ]_0^1\]
\[\Huge \log2-\log1=\log2 \]
:)