Question and Answers Forum

All Questions      Topic List

Logarithms Questions

Previous in All Question      Next in All Question      

Previous in Logarithms      Next in Logarithms      

Question Number 208322 by alcohol last updated on 11/Jun/24

Answered by Berbere last updated on 11/Jun/24

$$\underset{k=1}{\prod ^{n-1}}{(1+\frac{1}{k})}^k=\underset{k=1}{\prod ^{n-1}}\frac{{(1+k)}^k}{k^k}=\underset{k=1}{\prod ^{n-1}}\frac{{(1+k)}^{k+1}}{(k+1).k^k}$$$$=\underset{k=1}{\prod ^{n-1}}\frac{1}{(k+1)}.\underset{k=1}{\prod ^{n-1}}\frac{{(1+k)}^{k+1}}{k^k}=\frac{1}{n!}.n^n=\frac{n^{n-1}}{(n-1)!}$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com