Question

Test the series below for convergence using the Ratio Test. ?_{n=1}^{?} rac{6^n}{n!} The limit of the ratio test simplifies to lim_{n ? ?} |f(n)| where f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Select an answer Diverges Converges Question Help: Next Question

          Test the series below for convergence using the Ratio Test.
?_{n=1}^{?} rac{6^n}{n!}
The limit of the ratio test simplifies to lim_{n ? ?} |f(n)| where
f(n) =
The limit is:
(enter oo for infinity if needed)
Based on this, the series Select an answer
Diverges
Converges
Question Help:
Next Question

Test the series below for convergence using the Ratio Test.
?n=1^? rac6^nn!
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
Diverges
Converges
Question Help:
Next Question

Added by Felix M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/06/2023

Step 1

Now, we apply the Ratio Test: $$\lim_{n\to\infty} \frac{a_{n+1}}{a_n} = \lim_{n\to\infty} \frac{(n+1)!}{n!}$$ We can simplify this expression by noting that $(n+1)! = (n+1)n!$, so: Show more…

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Test the series below for convergence using the Ratio Test. ∑_{n=1}^{∞} 6^n / n! The limit of the ratio test simplifies to lim_{n → ∞} |f(n)| where f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Select an answer Diverges Converges Question Help: Next Question