Question

Determine whether the sequence converges or diverges. If a_(n)=(7^(n))/(1 8^(n)) \lim_(n->\infty )a_(n)= Need Help? ◻ $a_n = \frac{7^n}{1+8^n}$ $\lim_{n \to \infty} a_n =$

Name: determine whether the sequence converges or diverges if an7n1 8n limn infty an need help an frac7n18n limn to infty an 95525
Uploaded: 2022-03-02T02:25:55-08:00
Duration: 34 s
Channel: Nick Johnson
Description: determine whether the sequence converges or diverges if an7n1 8n limn infty an need help an frac7n18n limn to infty an 95525

          Determine whether the sequence converges or diverges. If
a_(n)=(7^(n))/(1 8^(n))
\lim_(n->\infty )a_(n)=
Need Help? ◻
$a_n = \frac{7^n}{1+8^n}$
$\lim_{n \to \infty} a_n =$

$determine whether the sequence converges or diverges if an7n1 8n limn infty an need help an frac7n18n limn to infty an 95525$

Added by Michelle S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Nick Johnson

03/02/2022

Step 1

We can rewrite the expression as: $$a_n = \frac{7^n}{1+8^n} = \frac{7^n}{8^n(\frac{1}{8^n}+1)} = \frac{(\frac{7}{8})^n}{\frac{1}{8^n}+1}$$ Show more…

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Determine whether the sequence converges or diverges. If a_(n)=(7^(n))/(1 8^(n)) \lim_(n->\infty )a_(n)= Need Help? ◻ $a_n = \frac{7^n}{1+8^n}$ $\lim_{n \to \infty} a_n =$