(1 point) Determine the sum of the following series. 00 (****) 2" + 5" 8 n=1
00 Determine whether the series 2" +5" 6 converges or diverges. If it converges, find its sum. n=1 Select the correct answer below and, if necessary, fill in the answer box within your choice. O A. The series diverges because it is the sum of two geometric series, at least one with In 21. The series converges because it is the sum of two geometric series, each with (r< 1. The sum of the series is OB (Simplify your answer.)...
00 (1 point) For what values of 3 does the series (-1)"(5x)" converge? (n+8)(n +9) The series converges when is in Use interval notation to enter your answer. If the series converges at only one number, enter a closed interval or a single point, e.g., "[5,5]" or {5} Otherwise, enter an open interval (don't worry about whether the series converges at endpoints)
please solve 2 and 3
2) Determine the interval of convergence and the sum the series: 00 (x+1) 2n {" of h=o 3). Find the intervals of convergence and divergence of the power series: 8 n 8- ខ្ញុំ *a
(1 point) Determine if the following series converges or diverges. Note: If it converges, consider whether it is geometric or telescoping and enter its sum. If it diverges, enter divergent. 00 Σ 19 n(n + 2)
Determine whether the series is convergent or divergent. 00 + en 4 n(n + 1) n = 1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 8.6558 X
7(5)n-1 Find the exact sum (no decimal approximations) of the series 2 - n=1 e series -. (no explanation needed) . 8
n+00 1. A series an has the property that lim an = 0. Which of the following is true? n=1 (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges.
1 n+00 2 n=1 A sequence {$n} of partial sums of the series an has the property that lim Sn = Which of the following is true? 1 (a) lim an = 0. (b) lim an (c) lim an does not exist. (d) There is no way to determine the value of lim an. n+00 noo n+00 n+00 1 n The sequence {en} of partial sums of the series an has the property that sn = n=1 for every positive...
#3 n-1 Determine whether the series 2 35 n=1 converges or diverges. If it converges, find its sum. #41 00 n-1 Analyze for convergence (6) NO -0") . Find the sum in case the series converges. n=1
Find the interval of convergence of the power series: 5) 00 2n -(4x – 8)" n n=1 E (n + 1)(x - 2)" (2n + 1)! n=0 7) 00 w n(x + 10)" (2n)! n=0