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Determine if the sequence {an} converges,and if it does, find its limit when an = (5n + (−1)^(n))/(2n + 5). How do I approach this problem? And once I know that, what are the steps to solving it?

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Determine if the sequence {an} converges,and if it does, find its limit when an = (5n + (−1)^(n))/(2n + 5).

How do I approach this problem? And once I know that, what are the steps to solving it?

 
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