A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate lim⁡n→∞∑i=1n(1+3in)23n\displaystyle \lim_{n\to\infty}\sum_{i=1}^{n}\left(1+\frac{3i}{n}\right)^{2}\frac{3}{n}. (a) 22 (b) 21 (c) 23 (d) 20

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