Problem 613 (difficulty: 4/10)

\(\displaystyle \lim_{x\to\infty} \frac{\sqrt{2^x+3^x}+4^x}{\displaystyle\bigg(1+\frac1x\bigg)^{x^2}} = ? \)

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