Question

Test the series below for convergence using the ratio test.\\ $\sum_{n=1}^{\infty} \frac{n^3}{0.6^n}$\\ The limit of the ratio test simplifies to $\lim_{n \to \infty} |f(n)|$ where\\ $f(n) = $\\ The limit is \\ (Enter oo for infinity if needed.)\\ Based on this, the series Select an answer .\\ Question Help: VIDEO 1 VIDEO 2 Message instructor Post to forum

          Test the series below for convergence using the ratio test.\\
$\sum_{n=1}^{\infty} \frac{n^3}{0.6^n}$\\
The limit of the ratio test simplifies to $\lim_{n \to \infty} |f(n)|$ where\\
$f(n) = $\\
The limit is \\
(Enter oo for infinity if needed.)\\
Based on this, the series Select an answer .\\
Question Help: VIDEO 1 VIDEO 2 Message instructor Post to forum

Test the series below for convergence using the ratio test.

∑n=1^∞(n^3)/(0.6^n)

The limit of the ratio test simplifies to limn →∞ |f(n)| where

f(n) =

The limit is

(Enter oo for infinity if needed.)

Based on this, the series Select an answer .

Question Help: VIDEO 1 VIDEO 2 Message instructor Post to forum

Added by Robert C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

06/22/2023

Step 1

6^(n+1)| / |n^3 / 0.6^n| = |(n+1)^3 / 0.6^(n+1)| * |0.6^n / n^3| = |(n+1)^3 / 0.6 * 0.6^n / n^3| = |(n+1)^3 / 0.6n * 0.6^n / n^3| = |(n+1)^3 / n * 0.6 / n * 0.6^n / n^3| = |(n+1)^3 / n^4 * 0.6 / 0.6^n| Show more…

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Test the series below for convergence using the ratio test. sum_{n=1}^{infty} frac{n^3}{0.6^n} The limit of the ratio test simplifies to lim_{n o infty} |f(n)| where f(n)= The limit is (Enter ∞ for infinity if needed.) Based on this, the series Question Help: VIDEO 1 VIDEO 2 Methrage instructor D Post to forum Test the series below for convergence using the ratio test. n^3 0.6^n n=1 The limit of the ratio test simplifies to lim (f (n)| where f(n)= The limit is (Enter ∞ for infinity if needed.) Based on this, the seriesSelect an answer v Question Help: VIDEO 1 VIDEO 2Methrage instructorO Post to forum