# Determine whether the series sum(j=1 to inf) (-1)^j+1 j+3/j+10....what do I do here? I need step by step inst?

I really need a step by step instruction on how to do this....I thought you just took the |an|=j+3/j+10....but I do not know what to do from here.....I tried using the integral test....but it doesn't work....please help..thanks in advance

### 1 Answer

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- kbLv 77 years agoBest Answer
Assuming that |a(n)| = (j+3) / (j+10), this series diverges by the nth term test,

because lim(j→∞) (j+3) / (j+10) = 1, which is nonzero.

I hope this helps!

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