which of the following series are not convergent? Select one: a. Lk-0 , sin(kt) O b. Ek-0 55t1 O c. Lo 5 5k1 O d. 10013 (k+1)* Lk=1 e. L-10 * uk=10 2k O f. (-) * f. Lk=1

Q: Σ(51) k

A:

Q: Q1. Test the following series for being convergent or divergent: 1 a.) E ne1 (In n)" 2 b.) Σ 1- 3n 2…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: п(п+1) Уn(п + 1)x" оg 3" n=1 n=1

A: Given function is f(x)=11-x power series of above function is 11-x=∑n=0∞xn…

Q: Find the interval of convergence for the given power series. (x - 3)" n(- 9)" n=1 The series is…

A: We have to solve given problem:

Q: F. S. How P/ Find the half-range sine and cosine series for the following function TX 0<x</ fcx) = 4…

A: The given function fx is defined as  fx=πx40&lt;x&lt;π2π4π-xπ2&lt;x&lt;π   The half range series of…

Q: Q9/ Answer the following points i. f(x) = e* and other function f(x) = e-x ii. Find the first three…

A: The Taylor series for a function fx , at x=a is given by :…

Q: jse the Ratio Test to decide whether 3" is convergent or divergent. 100 the series 2 'n=2 n2"

A:

Q: Show that the sequence (sn) W 2n² +1 ECO

A: Introduction: A sequence Sn is a convergence to a point a, when, limn→∞sn=a that is the limit n…

Q: 3. Build a power series with the interval of convergence [-1, 9). (Note: There are many possible…

A:

Q: Find the radius and interval of convergence for the following series: (x - 2)" 10n a. 8 n=0 Radius =…

A:

Q: Find a power series, centered at 2, for the function f(x) = 1 and the interval Зд — 2 on which the…

A: according to the given problem, we have

Q: What is the limit as n goes to infinity of the power series (log n)2 ?

A: The given problem is to find the limit of n goes to infinity of the power series of the function…

Q: Define Find the values of x where the series converges and show that we get a continuous function on…

A: The given series is g(x)=∑n=0∞x2n1+x2n. To Find: The values of x for which the series is convergent.…

Q: 1. Approximate the sum of the series to 2 decimal places. Σ a. n=1 (-1)" 2"n! (-1)"n b. 100n² +4n+1…

A: 1. a) Given series is ∑n=1∞-1n2n n! Take sum of first five terms, i.e., ∑n=15-1n2n…

Q: Find the radius and interval of convergence for the following series: (x - 2)" 10" a. 8 n=0 Radius=…

A:

Q: What is the interval of convergence for power series 2" E (x +5)"? 3n+1 n=1

A: Given apply ratio test

Q: Find the interval of convergence for the given power series. n=1 (x - 10)" n(-4)" The series is…

A:

Q: 5. Let Cn be a positive series. Which of the following is/are correct? n=1 I. If lim n/2cn = 3 then…

A: Given series is positive convergent series. 1) For convergent , Radius of series must be less than…

Q: (– 1)"(x+2)" What is the interval of convergence for the series 2 n=1 О.[-6,2) O b.(- 6,2] Oc[-6,–…

A: The correct answer is option B. The given series is  ∑n=1∞-1nx+2n4nn The ratio test will be given by…

Q: Is the sum from n=1 to infinity of sin(n) convergent, conditionally convergent or divergent?

A: The problem is asking us to determine whether the infinite series ∑n=1∞sin(n) is convergent,…

Q: Hhe following series Por Convergency 1- Cos &n

A:

Q: Which of the following series is conditionally convergent? (A) B n=1 Σ(-1)²+1 17+n √n n=1 sin(n) 7²…

A: Given that, (A) The series  ∑n=1∞sin(n)n2 ,  Since,   ∑n=1∞ sin(n)n2 ≤   ∑n=1∞ 1n2 which is a…