Can u please explain the steps? thanks SO much! There are three different parts. 4(:)n 1 consider the infinite geometric series Σ -1 In this image, the lower limit of the summation notation is &#...
Consider the series (n=1 and infinite) ∑(−1)^(n+1) (x−3)^n / [(5^n)(n^p)], where p is a constant and p > 0. a) For p=3 and x=8, does the series converge absolutely, converge conditionally, or diverge? Explain your reasoning. b) For p=1 and x=8, does the series converge absolutely, converge conditionally, or diverge? Explain your reasoning. c) When x=−2, for what values of p does the series converge? Explain your reasoning. (d) When p=1 and x=3.1, the series converges to a value SS....
Determine the power series of f(x) = xe^x about the value a = 0. To receive full credit you must explain how you obtained the series and write this series using both summation notation sum cnxn from n=0 to infinity and as an “infinite” polynomial f (x) = c0 + c1 x + c2 x2 + · · · . (a) Use the first SIX terms of the series from part (a) to obtain a decimal approximation for the number...
Please answer all parts. (1 point) Series: A Series (Or Infinite Series) is obtained from a sequence by adding the terms of the sequence. Another sequence associated with the series is the sequence of partial sums. A series converges if its sequence of partial sums converges. The sum of the series is the limit of the sequence of partial sums For example, consider the geometric series defined by the sequence Then the n-th partial sum Sn is given by tl...
please show all steps 00 Does the series 2 (-1)n +16+n 8+n converge absolutely, converge conditionally, or diverge? n=1 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A The series diverges because the limit used in the Ratio Test is not less than or equal to 1. OB. The series converges absolutely because the corresponding series of absolute values is geometric with Ir] =- Oc. The series converges conditionally per...
Q2-Σ Notation Review notation by investigating In this problem we will remind ourselves of 2k k O a) Consider the similar finite sum 2* k-0 Using n - 3, rewrite this expression in expanded form, and then evaluate it. b) Rewrite Expression (2) in expanded form for n-6, and then evaluate it c) Expression (2) becomes a better approximation to Expression (1) as n grows larger. To get an idea of what (1) is, evaluate (2) using n 100. Don't...
10.2 Series: Problem 5 Previous Problem Problem List Next Problem (1 point) Let s-Σ an be an infinite series such that SV-: 4-12 TL 1 10 16 (a) What are the values of Σ an and Σ an? n-4 10 16 n 4 (b) What is the value of as? a3 (c) Find a general formula for an TL (d) Find the sum an TL Note: You can earn partial credit on this problem Preview My Answers Submit Answers You...
(1 point) We will determine whether the series n3 + 2n an - is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series bn for comparison (this series must also have positive terms). The most reasonable choice is ba - (choose something of the form 1/mp...
Matlab function to solve an inequality that has a summation problem on one side. I have to write a function that uses a while loop and determines the biggest exponent value(k) in the summation out = symsum(2^i,i,o,k) that exceeds the input n in the inequality out > n so i need it to test the values of k from 1 on until out is the closest over n it can be. this assignment you will write two functions. The first...
stuck on part b Consider the following infinite series. Complete parts (a) through (c). 50(0.1) k=1 a. Find the first four partial sums S, S2, S3, and Sa S = 5 = 5.5 S₂ = 5.55 (Simplify your answer. Type an integer or a decimal.) Sa = 5.555 b. Find a formula for the nth partial sum S, of the infinite series. S. (Use integers or fractions for any numbers in the expression.) Use the formula to find the next...
Answer just in MATLAB please. Many thanks. #MATLAB Questions 2. Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes and the curve y = cos x, OS XS 1/2, about, a) the y-axis b) the line x= Tt/2. (15 marks, 5 each part, 5 for baseline formulation) 3. (a) Solve the following double integral, (b) Sketch the region of integration, and (c) write an equivalent double integral with the...