∞ Let Σ an = Σ n=1 n=1 lim b η 00 n Provide your answer below: Π 6 3⁰ 8 = and 2 b n=1 = || 8 Σ n=1 1 3n . Compute the following limit. an lim nosobn

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let 

\[
\sum_{n=1}^{\infty} a_n = \sum_{n=1}^{\infty} \frac{6}{3^n - 8}
\]

and 

\[
\sum_{n=1}^{\infty} b_n = \sum_{n=1}^{\infty} \frac{1}{3^n}
\]

Compute the following limit:

\[
\lim_{n \to \infty} \frac{a_n}{b_n}
\]

**Provide your answer below:**

\[
\lim_{n \to \infty} \frac{a_n}{b_n} = \Box
\]
Transcribed Image Text:Let \[ \sum_{n=1}^{\infty} a_n = \sum_{n=1}^{\infty} \frac{6}{3^n - 8} \] and \[ \sum_{n=1}^{\infty} b_n = \sum_{n=1}^{\infty} \frac{1}{3^n} \] Compute the following limit: \[ \lim_{n \to \infty} \frac{a_n}{b_n} \] **Provide your answer below:** \[ \lim_{n \to \infty} \frac{a_n}{b_n} = \Box \]
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