Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 185337 by Shrinava last updated on 20/Jan/23

Answered by qaz last updated on 20/Jan/23

$$\underset{k=2}{\sum ^n}\frac{k+\sqrt{k}}{k}\sim {\int }_2^n\frac{x+\sqrt{x}}{x}dx\sim n$$$$\underset{k=2}{\sum ^n}\frac{k+\sqrt[3]{k}}{k}\sim {\int }_2^n\frac{x+\sqrt[3]{x}}{k}dx\sim n$$$$\underset{k=2}{\sum ^n}\frac{k+\sqrt[5]{k}}{k}\sim {\int }_2^n\frac{x+\sqrt[5]{x}}{x}dx\sim n$$$$\underset{k=2}{\sum ^n}{k}^2\sim \frac{1}{3}{n}^3$$$$\Rightarrow \mathrm{\Omega }=3$$

Commented by Shrinava last updated on 23/Jan/23

$$\mathrm{Thank}\mathrm{you}\mathrm{dear}\mathrm{professor},$$$$\mathrm{is}\mathrm{there}\mathrm{any}\mathrm{other}\mathrm{solution}?$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com