Tumaiesla G.

asked • 10/12/15

Diverges or converges?

(infinity symbol)
∑ (n^2)/(5n^2+4)
n=1
 
How do you know if it diverges. Please explain step by step. 

1 Expert Answer

By:

Eugene E. answered • 10/12/15

Calculus Tutor near downtown Naperville

Tumaiesla G.

how do you get 1/5 = an?
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10/12/15

Eugene E.

tutor
It's lim a= 1/5, since acan be written 1/(5 + 4/n2), and lim 4/n= 0 (which implies lim an = 1/(5 + 0) = 1/5).
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10/12/15

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