Question: Does the series Summation from n equals 1 to infinity left parenthesis negative 1 right parenthesis Superscript n plus 1 Baseline StartFraction n cubed Over

Does the series Summation from n equals 1 to infinity left parenthesis negative 1 right parenthesis Superscript n plus 1 Baseline StartFraction n cubed Over n Superscript 7 Baseline plus 1 EndFraction converge absolutely, converge conditionally, or diverge? Question content area bottom Part 1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and the Comparison Test with Summation from n equals 1 to infinity StartFraction 1 Over n Superscript 4 EndFraction . B. The series diverges because the limit used in the Ratio Test is not less than or equal to 1. C. The series converges absolutely per the Comparison Test with Summation from n equals 1 to infinity StartFraction 1 Over n Superscript 4 EndFraction . D. The series converges absolutely because the limit used in the nth-Term Test is enter your response here. E. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is enter your response here. F. The series diverges because the limit used in the nth-Term Test is not zero

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!