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Do the following series converges or diverges. Justify your answer. (a) sin?(n) n2 n= i M8...
(5 points) Determine whether the series converges or diverges. If it converges, find the limit. M8 In(5n) n n=1
1. (10 pts) Determine whether the given series converges or diverges. Be sure to justify your answer. (similar to 10.6 #18) Ex=2(-1)" n2
Show that M8 converges/diverges C + n² + 1 n=1
Math 142 Week 1 AS 4. Determine whether the series sin" converges or diverges. n2 n1
1. Determine whether the series converges or diverges.$$ \sum_{k=1}^{\infty} \frac{\ln (k)}{k} $$convergesdiverges2.Test the series for convergence or divergence.$$ \sum_{n=1}^{\infty}(-1)^{n} \sin \left(\frac{3 \pi}{n}\right) $$convergesdiverges
- 1n(17)} (1 In + converges or n2 diverges. If it converges, find its limit. If it diverges, enter "infinity", or "-infinity" if applicable, or enter "divergent" if the sequence diverges (but not to +00). The limit is 5 (1 point) Determine whether the sequence nf sin converges or diverges. If it converges, find its limit. If it diverges, enter "infinity", or "-infinity" if applicable, or enter "divergent" if the sequence diverges (but not to +00). ${n* sin()} The limit...
Determine whether the series converges or diverges. n = 1 converges diverges
Determine whether the series converges or diverges. e8/n n n = 1 converges diverges
Use the Ratio Test to determine if the following series converges absolutely or diverges. (-1; n(n+2)! n=1 Since the limit resulting from the Ratio Test is (Simplify your answer.) the Ratio Test is inconclusive. the series diverges. the series converges absolutely.
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges conditionally. This is determined by testing the series for "normal” convergence with the integral test, comparison test, root test or ratio test. If the series fails to be absolutely convergent the alternating series test is used in step 2. 2n + 3 Σ(-1)*. 3n2 +1 n=1