Mathematics

Problem

The limit

L=\lim_{n\to\infty}\sum_{i=1}^{n} \frac{1}{1+\left(\dfrac{b i}{n}\right)}\cdot\dfrac{b}{n}

is equal to

\ln 3

for some positive constant

b

. What is the value of

b

? a)

e-1

3

2

\dfrac{\ln 3}{\ln 2}