Question

Use the Ratio Test to determine the convergence or divergence of the series. If you need to use ? or -?, enter INFINITY or -INFINITY, respectively. ?_{n=1}^{?} n^4/7^n lim_{n ? ?} | a_{n+1} / a_n | = [ ] ? converges ? diverges

          Use the Ratio Test to determine the convergence or divergence of the series. If you need to use ? or -?, enter INFINITY or -INFINITY, respectively.

?_{n=1}^{?} n^4/7^n

lim_{n ? ?} | a_{n+1} / a_n | = [      ]

? converges
? diverges

Use the Ratio Test to determine the convergence or divergence of the series. If you need to use ? or -?, enter INFINITY or -INFINITY, respectively.

?n=1^? n^4/7^n

limn ? ? | an+1 / an | = [ ]

? converges
? diverges

Added by Alfredo M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

01/09/2024

Step 1

Apply the Ratio Test: lim n→∞ |(n+1)^4 * (2n+2)/(n^4 * (2n+3))| Show more…

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Use the Ratio Test to determine the convergence or divergence of the series. To do this, you need to use the limit as n approaches infinity of the absolute value of (a(n+1)/a(n)). If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity, the series diverges.