lim n n i1 1 2i n 2 2 n li

Chapter 4, Problem 52

(choose chapter or problem)

In Exercises 49– 54, find a formula for the sum of terms. Use the formula to find the limit as \(n \rightarrow \infty\)

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n}\left(1+\frac{2 i}{n}\right)^{2}\left(\frac{2}{n}\right)\)

Text Transcription:

n rightarrow infinity

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