# How to solve for x ?

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- For what values of #r# does the sequence #a_n = (nr)^n# converge ?
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- How do you determine if the series the converges conditionally, absolutely or diverges given #Sigma ((-1)^(n))/(sqrt(n+4))# from #[1,oo)#?
- How do you determine if the improper integral converges or diverges #int [(x^3)( e^(-x^4) )] dx# from negative infinity to infinity?

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