Please show all work 5. Find the sum of the series 3п -1 n!5n n=1 (b)...
a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 00 3 8n NO For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) 2 + 7 con Σ Test: (-1) in...
Find the sum of the series Problem #13 an IS Sn4n - 1 n-1 Suppose that the nth partial sum of the series 5n+ 3 (a) Find a3 (b) Find n-1 Problem #13(a): 10/117 Problem #13(b): Your work has been saved! (Back to Admin Page) Submit Problem #13 for Grading Just Save
3n+1 Find the sum 5n n=1
Given the following geometric series, find its sum. Show all work 2"+1 Σ 2η- n-1 n-1 CO 2"+1 Σ 2η- n-1 n-1 CO
Find the sum of each geometric series: ΣXe) n +3 Σ-5 b) 50 n-0 n-1 Find the sum of each geometric series: ΣXe) n +3 Σ-5 b) 50 n-0 n-1
Please show ALL work and steps and an explanation as to why the series is convergent or divergent Use the Integral Test to determine whether the series is convergent or divergent. oo -5n ne n = 1 Evaluate the following integral. -5x dx 59 xe Since the integral ---Select--- finite, the series is ---Select--- -
1. Here is a sequence of partial sums of the series ak: 5n+3 n+4 / k= 1 a) Give a 10. Show work below. b) Give ak, simplified. Show work below c) To what, if anything, does the series converge?
please clearly answer each part of this problem and show all work 2. Given the series (-1)"+1(n + 1) n? + 1 (a) Does it converge absolutely, converge conditionally, or diverge? If it converges, you must show that all three criteria of the Alternating Series Test are satisfied. (b) Use the Alternating Series Remainder Theorem to find the number of terms N such that RNI < 1/10 (c) Use this N to find lower and upper bounds to three decimal...
Please solve all. Show all of your work! 1. Find a power series representation of the function f(0) = x arctan(2.c) and determine the raidus of convergence. 2. Let f(x) = 1 + r. (a) Find the Maclaurin series of radius of convergence? (ie the Taylor series centered at a = 0). What is the (b) Find the Taylor series of centered at a = 3. What is the radius of convergence?
Please show how Option A- 39999 is the correct answer. n+1 Given that the series is convergent, find a value of n for which the nth partial sum is vn n-1 guaranteed to approximate the sum of the series to two decimal places O (5 pts)39,999 X (0pts) 3,999 O (0pts) 399 O (0pts) 39 n+1 Given that the series is convergent, find a value of n for which the nth partial sum is vn n-1 guaranteed to approximate the...