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Part CCSIR NET June 2025the-riemann-sum-gives-the-logarithm-so-exponentiate-before-answering

The riemann sum gives the logarithm so exponentiate before answering

What is the value of the limit limn→∞lim_{n\to\infty} (1/n)[(n + 1)(n + 2)⋯(n + n)]1/n^{1/n}?

  1. A.2/e
  2. B.4/e✓ Correct
  3. C.loge2−1log_{e}2 - 1
  4. D.2loge2−12 log_{e}2 - 1

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward, and why this one tests execution slip.

See pricing

50 are analysed free — try those first.

The trap it tests

Execution slip

The idea was right. The computation was not.

Drill statements like this

Related counterexample: |f| Riemann integrable ⇒ f Riemann integrable

More on this topic

The chapter behind this: Riemann integrability — the criterion and the zoo — free to read

From Integration › Riemann integration and criteria

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