Question

Use the Ratio Test to determine whether the series is convergent or divergent.\\ $\sum_{n=1}^{\infty} \frac{n\pi^n}{(-4)^n - 1}$\\ Identify $a_n$.\\ Evaluate the following limit.\\ $\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|$\\ Since $\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|$ ? 1, ---Select---

          Use the Ratio Test to determine whether the series is convergent or divergent.\\
$\sum_{n=1}^{\infty} \frac{n\pi^n}{(-4)^n - 1}$\\
Identify $a_n$.\\
Evaluate the following limit.\\
$\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|$\\
Since $\lim_{n \to \infty} |\frac{a_{n+1}}{a_n}|$ ? 1, ---Select---

Use the Ratio Test to determine whether the series is convergent or divergent.

∑n=1^∞(nπ^n)/((-4)^n - 1)

Identify an.

Evaluate the following limit.

limn →∞ |(an+1)/(an)|

Since limn →∞ |(an+1)/(an)| ? 1, —Select—

Added by Daniel P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Oswaldo Jiménez

Step 1

The given series is \[ \sum_{n=1}^{\infty} \frac{n \pi^n}{(-4)^{n-1}} \] So, \[ a_n = \frac{n \pi^n}{(-4)^{n-1}} \] Show more…

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Use the Ratio Test to determine whether the series is convergent or divergent. ∞ n = 1 n𝜋n (−4)n − 1 Identify an. Evaluate the following limit. lim n → ∞ an + 1 an Since lim n → ∞ an + 1 an ? 1, ---Select--- . 8 (-4)n-1 n=1 Identify an' Evaluate the following limit. lim an+1 a Since lim an +1 ? v]1,[---Select--- n-> an