Câu hỏi 16
Cho $f(x)=\dfrac{x^{2010}}{x^{2010}+(1-x)^{2010}}$. Tính
$$f\left(\frac1{2011}\right)+f\left(\frac2{2011}\right)+f\left(\frac3{2011}\right)+\cdots+f\left(\frac{2010}{2011}\right).$$
$$f\left(\frac1{2011}\right)+f\left(\frac2{2011}\right)+f\left(\frac3{2011}\right)+\cdots+f\left(\frac{2010}{2011}\right).$$