$S= \dfrac{10}{10^4+10^2+1} + \dfrac{11}{11^4+11^2+1} + \dfrac{12}{12^4+12^2+1} + \cdots + \dfrac{100}{100^4+100^2+1}$
ise $2S+\dfrac{1}{10101}$ toplamı aşağıdakilerden hangisine eşittir?
$\textbf{a)}\ \dfrac{1}{259} \qquad\textbf{b)}\ \dfrac{1}{39} \qquad\textbf{c)}\ \dfrac{1}{111} \qquad\textbf{d)}\ \dfrac{1}{91} \qquad\textbf{e)}\ \dfrac{1}{101}$