2. n=1 n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether converges or diverges....
Question 1. (a) Determine whether the series diverges or converges: Enal In (b) Determine whether the series 2n=1(-1)" 5 is absolutely convergent, conditionally convergent or divergent.
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...
Un=1 n! Q6-7: Determine whether each series converges conditionally, converges absolutely, or diverges. 1 3n2+4 6. An=1(-1)n-1 7. An=1(-1)n-1 2n2+3n+5 2n2+3n+5 Q8: Compute lim lan+1/an| for the series 2 m2 in Q9: Find the radius and interval of convergence for the series 2n=0 n! 1 Q10: Find a power series representation for (1-x)2 (2-43
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
please show work
Ś (-1)"+1 Determine whether the series 2. converges conditionally, converges absolutely, or diverges. Diverges Converges absolutely Converges conditionally
Check if the following series converges absolutely, converges conditionally, or diverges. I know the series converges conditionally. This is determined by testing the series for "normal” convergence with the integral test, comparison test, root test or ratio test. If the series fails to be absolutely convergent the alternating series test is used in step 2. 2n + 3 Σ(-1)*. 3n2 +1 n=1
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...
Determine whether the given series are absolutely convergent,
conditionally convergent or divergent. (same answers can be used
multiple times)
Determine whether the given series are absolutely convergent, conditionally convergent or divergent. (-1)"(2n +3n2) 2n2-n is n=1 M8 M8 M8 (-1)"(n +2) 2n2-1 is absolutely convergent. divergent conditionally convergent. n=1 (-1)" (n+2) 2n2-1 is n = 1
8-31 Determine whether the series - converges or diverges. If it converges, find the sum. (If the quantity diverges, enter DIVERGES.) Son 8-31 n=1 - = nsion Determine whether the series converges absolutely, conditionally, or not at all. (-1) - 1 n1/2 n=1 The series converges absolutely. The series converges conditionally. The series diverges. For which values of x does (n + 4)!x converge? n = 0 (-0,00) (-1,1) O no values exist O x = 0 (-4,4) Find the...
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...