Let \( \sum_{r=1}^{n} \frac{r^{4}}{(2 r-1)(2 r+1)}=\frac{n^{3}}{A}+... VIDEO
Let \( \sum_{r=1}^{n} \frac{r^{4}}{(2 r-1)(2 r+1)}=\frac{n^{3}}{A}+\frac{n^{2}}{B}+\frac{5 n}{C}+\frac{f(n)}{D}(A, B, C, D, \in N) \), where \( f(n) \) is the
\( \mathrm{P} \) ratio of two linear polynomials such that \( \lim _{n \rightarrow \infty} f(n)=\frac{1}{2} \). Find the value of \( (A+B+C \)
W \( +D) \)
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