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Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)an = (-1)^n(n/n+2)

Question

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.)


an = (-1)^n(n/n+2)
 
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Step 1

We are given 

 

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Step 2

We can take lim n-->inf 

 

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Step 3

We can distribute limit

we know that (-1)^n is oscillating...

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Calculus

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