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Question 240020
JEE Mathematics · Hard

Limits and Continuity: Mixed MCQ

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MixedHardQuestion 240020

Question

lim(n→∞) (1/n²)(1 + 2 + 3 + ... + n) equals:
  1. A
    1/2
    Correct
  2. B
    1
  3. C
    0
  4. D
    ∞

Correct answer

1/2

Explanation

Sum = n(n+1)/2. Divided by n²: (n+1)/(2n) = (1 + 1/n)/2 → 1/2 as n → ∞.

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