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 $e^{ln(x)}=x$

Answers: 2

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More questions: Mathematics Another questions

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)=Find: Solution: eHINT: remember

Answers

Another question on Mathematics

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 $e^{ln(x)}=x$