The value of ("lim")(nvecoo)sum(r=1)^(4n...

The value of `("lim")_(nvecoo)sum_(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r)+sqrt(n))^2)` is equal to `1/(35)` (b) `1/4` (c) `1/(10)` (d) `1/5`

A

`1/35`

B

`1/14`

C

`1/10`

D

`1/5`

AI Generated Solution

To solve the limit \[ \lim_{n \to \infty} \sum_{r=1}^{4n} \frac{\sqrt{n}}{\sqrt{r}(3\sqrt{r} + \sqrt{n})^2} \] we will follow these steps: ...

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