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## Dido525 Group Title Find the limit $\lim_{n \rightarrow \infty} \frac{ 1 }{ n } \sum_{i=1}^{n} \frac{ 1 }{ 1+(\frac{ i }{ n })^2 }$ one year ago one year ago

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1. Dido525

I got: $\frac{ \pi }{ 4 }$

2. Dido525

Is that right?

3. Dido525

$\lim_{n \rightarrow \infty} \frac{ 1 }{ n } \sum_{i=1}^{n} \frac{ 1 }{ 1+(\frac{ i }{ n })^2 }$

4. experimentX

yes you are right .. change it into integration

5. Dido525

Thanks :) .

6. experimentX

this should be equal to $\int_0^1 {1 \over 1 + x^2} dx$