Which one is bigger?

Algebra Level 3

Which one is bigger?

A = 1 + 1 2 + 1 3 + ⋯ + 1 n or B = ln ⁡ ( n + 1 ) \large A = 1+\frac 12 + \frac 13 + \cdots + \frac 1n \quad \quad \text{or} \quad \quad B = \ln (n+1)

A = B A=B A > B A > B It depends on n n . B > A B > A

Pepper Mint by Pepper Mint , 20, South Korea

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1 solution

Pepper Mint
Sep 2, 2017

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