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Mathematics, 12.12.2021 01:00 averylivinglife2041

Hey guys, thought I would post the Putnam Problem A2 on here if anyone is interested in trying to solve it. I will post the solution to check. Good luck! Given: g(x)=\lim_{r \to 0} ((x+1)^{r+1}-x^{r+1})^{1/r}

Find: \lim_{x \to \infty} \frac{g(x)}{x}

Solution: e

HINT: remember e^{ln(x)}=x

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