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1. Test the series below for convergence using the Root Test. ∞∑n=1 (2n^2 / 9n+3)^n The...

1. Test the series below for convergence using the Root Test.
∞∑n=1 (2n^2 / 9n+3)^n
The limit of the root test simplifies to limn→∞|f(n)|limn→∞|f(n)| where
f(n)=

2. Test the series below for convergence using the Root Test.
∞∑n=1 (4n+4 / 5n+3)^n
The limit of the root test simplifies to limn→∞|f(n)| where
f(n)=  
The limit is:

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