Use the telescoping series method to find the sum 4 n+2 n + 3 The sum...
Write S = 1 n(n-1) as a telescoping series and find its sum. n=4 Sn = 1/(n-1)-1/n S = 1/3 Note: You can earn partial credit on this problem.
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for your answers. (nl)2 n-1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for...
(1 point) Calculate S3, S4, and Sg and then find the sum for the telescoping series 1 1 S (+12) n=4 where Sk is the partial sum using the first k values of n. S3 = S4= S5= S =
State what series and the reason for setting up the
inequality.
3. Determine whether the series is convergent or divergent by expressing as a telescoping sum. If it is convergent, find its sum. 1 (9 points)
3. Determine whether the series is convergent or divergent by expressing as a telescoping sum. If it is convergent, find its sum. 1 (9 points)
26. For the function f(x,y) = 4y2 + 3x², find f(3. - 4), (-4,4), f(-1,-2), and f(0,7). f(3,-4)= (Type an exact answer, using radicals as needed.) f(-4,4)= (Type an exact answer, using radicals as needed.) f(-1, - 2) = (Type an exact answer, using radicals as needed.) f(0.7) = (Type an exact answer, using radicals as needed.)
Consider the telescoping series Σ. (Η -- (1) Let the mth partial sum Sm = m- vnts). 1 va). Give (1) S = (ii) S2 = (iii) S3 (iv) In terms of m. Sm (2) Compute limmo Sin (3) Determine if the series. The most ama vonta) is convergent or divergent. Give the exact sum if it is convergent.
7(5)n-1 Find the exact sum (no decimal approximations) of the series 2 - n=1 e series -. (no explanation needed) . 8
Question 10 Co Consider the telescoping series LGT) (1) Let the mth partial sum Sm = (-) Give (1) S = (ii) S2 = (11) S = (iv) In terms of m, Sm (2) Compute lim, (3) Determine if the series + S 00 (-) is convergent or divergent. Give the exact sum if it is convergent. TO Lop 12pt Paragraph BIU A 2 TY BEY B
17120 pts): Find the sum of the telescoping series s-(- -)- Note the function (x) is positive, continuous, and decreasing on [11,0). Supply an argument verifying that fis decreasing on this interval: Using the Integral Test in the opposite direction than we usually use it, we can now conclude the improper integral below must converge. Evaluate it. (Note we will use the value of the integral below, so let's call that number 1.) 1=1 Idra Verify the value you give...
Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 13 13 (n + 1)(n+2) What is the formula for the nth partial sum of the series? Sn=0 What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer. (Type an integer or a simplified fraction.) O A. The sum of the series is...