Evaluate lim n→∞ (1/n) [ (1/n)² + (2/n)² + ... + (n/n)² ].
Evaluate lim n→∞ (1/n) [ (1/n)² + (2/n)² + ... + (n/n)² ].
- A. 1/4
- B. 1
- C. 1/3
- D. 1/2
Answer: C) 1/3
Explanation: This converts to ∫[0 to 1] x² dx. Evaluating this gives [x³/3] from 0 to 1 = 1/3.
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