Question and Answers Forum

All Questions      Topic List

Limits Questions

Previous in All Question      Next in All Question      

Previous in Limits      Next in Limits      

Question Number 154586 by Dadoubleny last updated on 19/Sep/21

Answered by ARUNG_Brandon_MBU last updated on 19/Sep/21

$$\underset{n\to \mathrm{\infty }}{\lim }({(n+1)}^{\alpha }-n^{\alpha })$$$$\underset{n\to \mathrm{\infty }}{\lim }(n^{\alpha }{(1+\frac{1}{n})}^{\alpha }-n^{\alpha })$$$$\underset{n\to \mathrm{\infty }}{\lim }(n^{\alpha }(1+\frac{\alpha }{n})-n^{\alpha })$$$$\underset{n\to \mathrm{\infty }}{\lim }\left(\frac{\alpha }{n}\right)=0$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com