a) Is the series sin(n) Σ is – 7n + 1 n³ + 3n² n=1 absolutely convergent or divergent? justify your answers.

Q: est the convergence or divergence for this serie

A: To test the convergence or divergence for the below series. ∑n=1∞ n+10cosnπn1.4

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: Find all real numbers k so that the series (n – 3)* + (n – 3) (n³ – n³ – 1)'/3 n=4 converges.

A: Explanation of the answer is as follows

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

A:

Q: 7. Determine whether the series Σn=1 n 5n 6n+2 is convergent or divergent.

A: Necessary condition for convergence  :                         Necessary condition for…

Q: 1. Determine if the series converges or diverges. State which test you are using. Show your work…

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Q: Determine whether the series is convergent or divergent. 00 1 n² + 2n + 2 n=1

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Q: 6. Use any test to determine whether each of the series below converge. State which test you are…

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Q: Evaluate the geometric series or state that it diverges. 1 (-1)" n=0| 2n 2n

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Q: Apply the ratio test to determine whether or not the series converges. (−1)n-13n 2 n² 8 n=1

A: Ratio test is used

Q: 3. Determine whether the series converges or diverges. Show all work and give a clear explanation of…

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