- #1

alsdt

- 1

- 1

- Homework Statement
- calculate the limit of a phrase

- Relevant Equations
- limit

Hi

I was working on a physics problem and it was almost solved.

Only the part that is mostly mathematical remains, and no matter how hard I tried, I could not solve it.

I hope you can help me.

This is the equation I came up with and I wanted to prove it: $$\lim_{n \rightarrow+ \infty} { \sum_{i=1}^n \frac 1 {\sqrt{i(2n-i-1)} +\sqrt{i(2n-i)}}}=\frac \pi 4$$

I was working on a physics problem and it was almost solved.

Only the part that is mostly mathematical remains, and no matter how hard I tried, I could not solve it.

I hope you can help me.

This is the equation I came up with and I wanted to prove it: $$\lim_{n \rightarrow+ \infty} { \sum_{i=1}^n \frac 1 {\sqrt{i(2n-i-1)} +\sqrt{i(2n-i)}}}=\frac \pi 4$$