well, 3n/(8n+9) -> 3/8 as n->∞, so if that's what you meant to say, then you're off.
But the series clearly diverges, since the terms do not tend to zero.
The divergence test applied to the series ∑n=1 to ∞ 3n/(8n+9) tells us that the series converges or diverges?
I got that it was divergent because it was undefined at infinity, is my answer right?
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