Câu hỏi 33
Tính tổng
$$\left\lfloor\frac11\right\rfloor+\left\lfloor\frac12\right\rfloor+\left\lfloor\frac22\right\rfloor+\left\lfloor\frac13\right\rfloor+\left\lfloor\frac23\right\rfloor+\left\lfloor\frac33\right\rfloor$$
$$+\left\lfloor\frac14\right\rfloor+\left\lfloor\frac24\right\rfloor+\left\lfloor\frac34\right\rfloor+\left\lfloor\frac44\right\rfloor+\left\lfloor\frac15\right\rfloor+\cdots$$
đến hết số hạng thứ $2013$.
$$\left\lfloor\frac11\right\rfloor+\left\lfloor\frac12\right\rfloor+\left\lfloor\frac22\right\rfloor+\left\lfloor\frac13\right\rfloor+\left\lfloor\frac23\right\rfloor+\left\lfloor\frac33\right\rfloor$$
$$+\left\lfloor\frac14\right\rfloor+\left\lfloor\frac24\right\rfloor+\left\lfloor\frac34\right\rfloor+\left\lfloor\frac44\right\rfloor+\left\lfloor\frac15\right\rfloor+\cdots$$
đến hết số hạng thứ $2013$.