1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. iM 8 n=1 √n n2 +3 converges or

Q: Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

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Q: Decide whether the following converges or diverges. 1 En=1 Inn+n!/2 100

A: Given series is ∑n=1∞1lnn+n Let xn=lnn+n Now, for n≥1,  lnn<nn+lnn<2n12n<1n+lnn Let us…

Q: Determine if converge or diverge using nth term and if converge find its limit

A: Finally, we can say that : The sequence an​=(−1)nn+1n​ diverges.The sequence an​=4n3n+n​​…

Q: Use the Ratio Test to prove that  ∑ (2/3) (n-1) converges. n goes thru n=3 to ∞. Write step by…

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Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: Exercise 2.4.3. (a) Show that V2, y2 + v2, V2+ V2 + v2,... converges and find the limit. (b) Does…

A: (a) Given sequence is 2, 2+2, 2+2+2,..... We have to show that the sequence 2, 2+2, 2+2+2,..... is…

Q: 5. Show that the following sequence Pa - n be before pn-p| ≤5 x 10-²? 1 2n converges linearly to p =…

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Q: 4. Use the basic comparison test (not the limit comparison test, or any other test) 00 Σ To show…

A: Given series : ∑n=0∞55n+5

Q: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. iM 8 n=1 √n n2…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: 1 3. Use the Limit Comparison Test to determine whether converges or diverges. Vnvn+1 n=1

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Q: Use the limit Companson test to determine Whe ther the improper inHegral converges or dverges.…

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Q: 5. Use the definition of convergence to prove that the sequence (sn) diverges where Sn = √n.

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Q: 1 211. n=1 4"-3"

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Q: 1 5. Determine by the limit comparison test if Zn=2 converges or diverges. Vn-1

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