Problem 336 (difficulty: 5/10)

Prove that

\(\displaystyle n+1 < e^{1+\frac{1}{2}+\ldots+\frac{1}{n}} < 3n. \)

Give me another random problem!

Subject, section:
Requested difficulty:
Request for a concrete problem:I want problem no.

Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government