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Sum of Infinite Terms

ntIf x(1+y) +...

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ntIf x{(1+y)} + y{(1+x)} = 0, then show that,n ntn ntdy/dx= 1/(1+x)n ntn ntn nt(SN pg 315)n

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t_{n} = \sum_{r = 0}^{n} \frac{1}{{({^{n} C}_{r})}^{k}}

S_{n} = \sum_{r = 0}^{n} \frac{r}{{({^{n} C}_{r})}^{k}}

k \in Z^{+}

{cos}^{- 1} (\frac{S_{n}}{n t_{n}})

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