Câu hỏi 97
Chứng minh rằng
$$\log_2\left(1+\frac11\right)+\log_2\left(1+\frac12\right)+\dots+\log_2\left(1+\frac1k\right)+\dots+\log_2\left(1+\frac1{2014}\right)\lt 11.$$
$$\log_2\left(1+\frac11\right)+\log_2\left(1+\frac12\right)+\dots+\log_2\left(1+\frac1k\right)+\dots+\log_2\left(1+\frac1{2014}\right)\lt 11.$$