题型:选择题 题类:其他 难易度:中档
已知函数\({f}\left( {x} \right)={{{x}}^{2}}+{bx}\)的图象在点\({A}\left( 1,{f}\left( 1 \right) \right)\)处的切线\({l}\)与直线\(3{x}-{y}+2=0\)平行,若数列\(\left\{ \dfrac{1}{{f}\left( {n} \right)} \right\}\)的前\({n}\)项和为\({{{S}}_{{n}}}\),则\({{{S}}_{2017}}\)的值为( )