This is a ODI series of number vs number

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Let for a series \[T_{n} \] =\[ \sqrt{1+\frac{1}{n^{2}}+\frac{1}{(n+1)^{2}} } \]; then the numerical value of \[\frac{11S_{10}}{20}\] for the given series [ where \[S_{10} \] denotes the sum of its first ten terms ] is:

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