Question

Is this series convergent or divergent?

Answer 1

https://www.khanacademy.org/math/integral-calculus/sequences_series_approx_calc/seq-conv-diverg/v/convergent-and-divergent-sequences

Answer 2

My guess is divergent

Answer 3

Hello

Answer 4

@Empty

Answer 5

Looks like divergent to me

Answer 6

Thanks

Answer 7

Looks like is not a good answer, some series do seem to diverge but surprisingly converge

Answer 8

That could be written in this form
\[\sum_{0} ^{\infty}(-1)^{n+1}\frac{n+1}{n+9} \]

Answer 9

By nth term test that diverges.

Answer 10

\(n\rightarrow \infty ~~\frac{n+1} {n+9} \rightarrow 1\)