Mathematics · Real Analysis
Let N ≥ 5 be an integer. Which of the following inequalities holds true for the harmonic series summation?
- 1∑n=1N 1n < log N - 1
- 2∑n=1N 1n ≤ log N
- 3∑n=1N 1n < log N
- 4∑n=1N 1n ≤ 1 + log N✓
Correct answer
∑n=1N 1n ≤ 1 + log N
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