Mathematics, 20.04.2020 19:42 nyandog50
Determine whether the series is convergent or divergent.
Σ[infinity] n=1 7 sin 1/n
a. The Limit Comparison Test allows us to determine convergence or divergence by considering lim n-->[infinity] an/bn.
We will use an = sin 1/n and bn = 1/n .
The terms 1/n are positive since n is positive. Since 0 < 1/n < π/2, then the terms sin 1/n are .
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Determine whether the series is convergent or divergent.
Σ[infinity] n=1 7 sin 1/n
a....
Σ[infinity] n=1 7 sin 1/n
a....
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