Actually the problem isn't solve the integral, as you can see in my link "
" with my solution i found a particular solution that isn't the same of book: "y = 1".
is a rule of sequences that I found.
If i use this rule in this exercise:
And apply limit in booth sides i will have the same result. But i want to know why this property is true...
I found this on the internet, but did not find the proof.
Curious to me is that the the ratio and root test have the same conditions.
How can i basically prove this equality?
$$\frac{a_{n+1}}{a_{n}} = \sqrt[n]{a_{n}}$$
Thank you!
The definition used is that it was strange for me...
My teacher give me other solution.
Taking the limit it will be equal to 1.
$$a_{n} = (\frac{1}{3})^{\frac{1}{n!}}$$
converge or diverge?
$$\sum_{n=1}^{^{\infty }}a_{n} $$
$$a_{1}= \frac{1}{3}, a_{n+1}= \sqrt[n]{a_{n}}
$$
Im having problems to solve this exercise, i would like to see your solutions