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What is the limit of the infinite series?

∑ (5n^5 / 4n^5+5)

n=1

 

Enter your answer in the box. Enter any fraction as a simplified fraction.

 Jul 19, 2022
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the limit diverges

 

to see why, as n approaches infinity, the terms approach 5/4, which is nonzero and therefore diverges.

 Jul 19, 2022

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