answer the following questions a) Explain and show why the series k’ – 5 1, 2...
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)
Please read the question and follow its
directions as the way I solve this problem is important.
Please show ALL work and also give an explanation to why it is
convergent or divergent, that is also important.
Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. Me 2 02 + 4n + 3 n = 1 convergent divergent If it is convergent, find its sum. (If an answer does not exist, enter DNE.)
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum (as in Example 8).
s(100) 10.Find the area enclosed by the polar curve r = 5 cos 10 12.57T 257T 11. Determine whether the series is convergent or divergent by expressing it as a its sum telescoping sum. If it is convergent, find 00 In n+1 n=1 1 O In 2 -1 O The series is divergent. 12. Use the Comparison Test or the Limit Comparison Test to determine if the following series converges or diverges. 3 5 n=1 n5+5 converges diverges
s(100) 10.Find...
please answer both questions, and show all the works
4. Determine whether the geometric series is convergent or divergent. it 1 . Determine whether the ge find its sum. πη 3n+1 72 5. Determine whether the series is convergent or divergent. If it is convergent, find its sum. k2 k2-1 k 2
4. Determine whether the geometric series is convergent or divergent. it 1 . Determine whether the ge find its sum. πη 3n+1 72 5. Determine whether the series...
1. Answer the following questions. Justify your answers. a. (8pts) Find the Taylor series for f(x) = (5x centered at a = 1 using the definition of the Taylor series. Also find the radius of convergence of the series. b. (8pts) Find a power series representation for the function f(x) = 1 5+X C. (4pts) Suppose that the function F is an antiderivative of a function f. How can you obtain the Maclaurin series of F from the Maclaurin series...
Help
5. Answer the following questions. Justify your answers. A. (8pts) If the nth partial sum of a series an is equal to sn = (1+0)") what is the sum of the series? en B. (8pts) Determine if the series 2n=1zten is convergent or divergent. C. (4pts) Can you make an infinite series of nonzero terms that converges to any number you want? Explain.
Supplementary Problems, from section 10.3 (10 points) 1.) Show that the following series are convergent and find their sum. (Note where the index k starts in each series). Ans. (a) S = - (b)=- 2.) Use partial fractions to rewrite the following series as a telescoping series and find its sum. ans. s = {
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. A series Can has the property that lim on = 0. Which of the following is true? (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. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...