Question

Use the limit comparison test to determine if the series converges or diverges. \begin{equation} 25) \sum_{n=1}^{\infty} \frac{4 + 7 \sin n}{7n^{5/4} + 4 \cos n} \end{equation}

          Use the limit comparison test to determine if the series converges or diverges.
\begin{equation*}
25) \sum_{n=1}^{\infty} \frac{4 + 7 \sin n}{7n^{5/4} + 4 \cos n}
\end{equation*}

Use the limit comparison test to determine if the series converges or diverges.

25) ∑n=1^∞(4 + 7 sin n)/(7n^5/4 + 4 cos n)

Added by William G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Satish Yadav

Step 1

We have: ∑ (4 + 7sin(n)) / (√(25 - M^2 * (7n^5/4 + 4cos(n)))) To determine if this series converges or diverges, we can use the limit comparison test. This test compares the given series to a known series whose convergence or divergence is already known. Let's Show more…

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