Question

Find the limit of the following sequence or determine that the sequence diverges. {ln (n³ + 4) - ln (9n³ + 13n)} Select the correct choice below and fill in any answer boxes to complete the choice. A. The limit of the sequence is . (Type an exact answer.) B. The sequence diverges.

          Find the limit of the following sequence or determine that the sequence diverges.

{ln (n³ + 4) - ln (9n³ + 13n)}

Select the correct choice below and fill in any answer boxes to complete the choice.

A. The limit of the sequence is . (Type an exact answer.)
B. The sequence diverges.

Find the limit of the following sequence or determine that the sequence diverges.

ln (n³ + 4) - ln (9n³ + 13n)

Select the correct choice below and fill in any answer boxes to complete the choice.

A. The limit of the sequence is . (Type an exact answer.)
B. The sequence diverges.

Added by Miriam N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

09/12/2023

Step 1

First, we can rewrite the given sequence as: $$a_n = \ln(n^3 + 4) \cdot \ln(9n^3 + 13n)$$ Now, we want to find the limit as $n$ goes to infinity: $$\lim_{n \to \infty} a_n = \lim_{n \to \infty} \ln(n^3 + 4) \cdot \ln(9n^3 + 13n)$$ We can use the properties of Show more…

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Find the limit of the following sequence or determine that the sequence diverges: {ln(n^3 + 4) / ln(9n^3 - 13n)}. Select the correct choice below and fill in any answer boxes to complete the choice. A. The limit of the sequence is. (Type an exact answer.) B. The sequence diverges.