1.

The sum of the series \[\frac{1}{1+{{1}^{2}}+{{1}^{4}}}+\frac{2}{1+{{2}^{2}}+{{2}^{4}}}+\frac{3}{1+{{3}^{2}}+{{3}^{4}}}+.........\] to \[n\] terms is

A. \[\frac{n({{n}^{2}}+1)}{{{n}^{2}}+n+1}\]
B. \[\frac{n(n+1)}{2({{n}^{2}}+n+1)}\]
C. \[\frac{n({{n}^{2}}-1)}{2({{n}^{2}}+n+1)}\]
D. None of these
Answer» C. \[\frac{n({{n}^{2}}-1)}{2({{n}^{2}}+n+1)}\]


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