ratio test

yam

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Jan 24, 2022
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use the ratio test to find the radius of convergence for (n^n*x^n)/9^n
 

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Looks good so far. What about limn(n+1)n+1nn\lim_{n\rightarrow\infty} \frac{(n+1)^{n+1}}{n^n} ?

Hint: (n+1)n+1nn>n+1\frac{(n+1)^{n+1}}{n^n} > n+1
 
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