The sum diverges. Use the limit test to prove it.
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The sum diverges. Use the limit test to prove it. Determine if the series is convergent...
1. Give an example of a convergent infinite series whose sum equals 1 Show that your series converges and show how to finds its sum (i.e. verify that the sum equals what we want). There are infinitely many possible answers! 2. n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether n=1 converges or diverges. 3n2 – 2 3n2 – 2 (-1)" 4n5/2 + n 4n5/2 +n b. Determine whether n=1 converges or diverges. 3n2 – 2 (-1)" 4n5/2...
Determine whether the series is convergent or divergent. B- O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Need Help? Read it [0/2 points) DETAILS PREVIOUS ANSWERS SCALCETS 11.2.039. Determine whether the series is convergent or divergent. arctan(n) O convergent O divergent if it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 1 X Read Need Help? Wixhit (-/2 Points] DETAILS SCALCETS 11.2.043. Determine whether the series is convergent...
(-1)-1 n2 is absolutely convergent. 1. (2 points) Prove that cos n is convergent or divergent. 2. (2 points) Determine whether the series - (Use cos n<1 for all n) 3. (3 points) Test the series -1) 3 for absolute convergence. (Use the Ratio Test) 2n +3) 4. (3 points) Determine whether the series converges or diverges. 3n +2 n-1 (Use the Root Test) 5. (3 points) Find R and I of the series (z-3) 1 Find a power series...
Determine whether the series converges or diverges. n + 1 Σ +n n = 1 The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and a divergent p-series is greater...
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either 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 enter NA...
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.
Use the Ratio Test to determine whether the series convergent or divergent. n! n=1 Identify an Evaluate the following limit lim. Ianni! Use the Ratio Test to determine whether the series convergent or divergent. n! n=1 Identify an Evaluate the following limit lim. Ianni!
Determine whether the series is convergent or divergent.$$ \sum_{n=1}^{\infty}\left(\frac{8}{e^{n}}+\frac{4}{n(n+1)}\right) $$convergentdivergentIf it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
In your answer state: (a) whether the above series Use the Limit Comparison Test to determine whether the following series is convergent or divergent Σ n +5 3 nin +4 is convergent or divergent, and (b) which series did you compare with the series is divergent, compare with E1 nin the series is convergent, compare with E 1 2. n=in the series is convergent, compare with E 1 nain the series is divergent, compare with 21 nin 1 the series...
а Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 (-1)" n? (n+ (n + 6)! n=1 n!54n .us Since the limit resulting from the Ratio Test is (Simplify your answer.) the Ratio Test is inconclusive. the series diverges. the series converges absolutely. s - & Vel