do 2 in clear handwriting please
do 2 in clear handwriting please PROBLEM (HAND-IN ASSIGNMENT Apply the direct comparison test to each...
Use the direct comparison test to test the series. 1. Use the direct comparison test to test the below series 3η 2. Σ-1 5. Σε πε5) ΠΟ = 4 η-1 10 α. Σ=2 τ
please be clear and clean handwriting please!! 2. In be a series of nonnegative terms. Show that if now that if an converges then eſ converges also.
Please do both questions. Q5 (5 points) Using the comparison test, determine if the series 2” vn +1 converges or diverges. n n=1 Q6 (5 points) 00 n Using the comparison test, determine if the series converges or diverges. n3 +n +3 n=1
please answer the question fully thank you. Use either the direct comparison test or the limit comparison test to determine whether the series sin converges or diverges. State the test that you used and demon- strate that all the hypotheses of the test hold. Ź sin (1) nel
ΧΟ Apply the Limit Comparison Test to the series Σ Vk3 + 2 4k3 + 3k2 +1' k=1
Previous Problem Problem List Next Problem 4n + (1 point) Use the limit comparison test to determine whether Ž. - converges 1412 p. converge or diverges. (a) Choose a series br with terms of the form bn = and apply the limit comparison test. Write your answer as a fully reduced fraction. For n > 14, lim = lim 1+00 1 00 (b) Evaluate the limit in the previous part. Enter op as infinity and -o as-infinity. If the limit...
please answer questions with details and clear steps and clear hand writing (8,9,10,11 S. Find the values of p for which the series is convergent. /2 9. Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded? a s " 2n +3 10. Test the series for convergence or divergence. 72 11. a) Use the integral test to show that the series converges In+1 b) Find s,o c) Use the error bounds from the integral...
Number 8, 9, 13 please dow Help XMA 220 Homework XYuzu: Calculus: Early Transcen + 638/4/[email protected]:2.22 ים: İIO Using the Direct Comparison Test In Exercises 5-16, use the Direct Comparison Test to determine the convergence or divergence of the series. 5. 6. 2n-1 4" 7. 8. oo In n 9. 10. 1l 14, Σ 5"1 n=0 15. Sin n 16. Σ cos n +2 /n 回,回Using the Limit Comparison Test In Exercises 17-26, use the Limit Comparison Test to determine...
please show all steps 6. For each series: • Use the specified test to deduce the convergence or divergence of the following series. • If the test does not apply, explain why. Then use another test, that does aid in deducing if the series con- verges or divergesc All properties for each test must be formally stated/proved for the specified test. For example, if a test requires the corresponding sequence be decreasing, you must show why this is true. If...
(1 point) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must...