Determine whether the sequence{5k(n + 4) sin( )+ 4} is convergent (find the value it converges), divergent, divergent to oo or -oo for any fixed k 0. 1 ({5k(n + 4) sin(; -)+ 4} dizisinin yakınsak(yakınsadığı değeri bulunuz), iraksak, oo k(n+4) veya -00 iraksak olduğunu k sıfırdan farklı herhangi bir sabit olmak üzere belirleyiniz.) Lütfen birini seçin: -00 01 00 O 20

Q: Determine whether the geometric series 3 n = 1 convergent divergent If it is convergent, find its…

A: We will check for convergence of Geometric series (G. S.), If found convergent, then sum using stand…

Q: Use and appropriate test to show that the series (shown in picture) is convergent. be sure to show…

A: Solve the series using ratio test

Q: 5* Find the interval of convergence of the geometric series (x – 4)**

A:

Q: 3 + 5n2 23. ая n+ n²

A: Basic series test

Q: 16) Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: We determine the convergence or divergence of the given sequence by sandwich theorem. The sandwich…

Q: Find the interval of convergence for the series 0(-1)"*+1)" n3" Be sure to check for convergence or…

A:

Q: The Interval of convergent for the series is: 4kk (a)[-4,4] (b)(-4,4] (c) [-4,4) (d)(-4,4)

A: The convergence of the series can be calculated using the convergence test. The ratio test is given…

Q: The sequence {3 Inn - 3 In(2n+ 1)}0 converges to 0 converges to - In(2) converges to In 3 converges…

A:

Q: 0.74-1 k-1

A:

Q: Find the interval of convergence for the power series (x – 5)" 4n n=2 interval of convergence =…

A:

Q: Find the interval of convergence of the series IM

A:

Q: To test this series for convergence 6+6 6" n-1 You could use the Limit Comparison Test, comparing it…

A: Explanation of the answer is as follows

Q: Choose the true statements about a convergent series.

A:

Q: 5. Determine whether the series > 2 3n - 1 divergent. is convergent or n=1

A:

Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence…

A: Definition used -                  Ratio test-                               L=limn→∞an+1an…

Q: 23 4-n+1

A: Given : ∑n=0∞3n4-n+1

Q: 1 determine whether it converges or whether it diverges. As part of your 6. For the series k3' k=0…

A:

Q: Use the root test to determine whether the series 7n -n - 2 3n2 +n + 4 converges or diverges. Since…

A:

Q: Determine the convergence or divergence of the series. 2 arctan(n) n = 1 Σ converges O diverges

A:

Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

A:

Q: 2. Determine whether the series 2 (n +1) (n + 2) n=0 converces or diverges. If converges find the…

A: We will just use basic knowledge of tests of positive term real series and some properties of…

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: 4. Ln=1 By the series test: 3n-2

A:

Q: Determine the interval of convergenee for the series 2(-1)" (2x – 3)"

A:

Q: Find the interval of convergence of the Taylor series of the function f(x)= in powers of (x- 1). 3-X…

A:

Q: Let 2 (-1)** 'ak be a convergent alternating series with terms that are nonincreasing in magnitude.…

A: We have to find the upper bound for  error.

Q: Example :- Find the interval of convergence of the following series 1. 2.

A:

Q: 5. Apply methods discussed to determine if the series converges or your conclusion. diverges.…

A:

Q: Use the Root Test to determine the convergence or divergence of the series.

A: Given

Q: 18

A:

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A:

Q: Determine the convergence or divergence of the sequence (not series!) with the given nth term. If…

A: Check the convergence of the sequence with nth term an=ln n2n.

Q: Determine whether the sequence converges 1) а, 3D п sin

A:

Q: Determine whether the given sequence converges or diverges, and clearly state your answer. If the…

A:

Q: An infinite series converges if its sequence of terms converges.

A: Solution ) if the sequence of the partial sum toward to the finite limit is converges it will be…

Q: ( n2 1+ 2n² ]

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 2(-1)n - 1_3" 2"n3 n…

A:

Q: Use the root test to determine whether the series 2n 4n + 9 converges or diverges. 9n + 2 n=1 Since…

A: Root test : Suppose that we have series ∑ an .Define,                 L = limn→∞ ann = limn→∞ an1n.…

Q: 3 9) Determine whether the series 1- diverges. converges or n=1 8

A:

Q: Determine if the series converges. If it converges find the limit. (In n)2 an

A: Series integral test:   The series ∑nan is converges if the integral ∫n f(n) dn converges and…

Q: 1. Determine whether the series is convergent or divergent. Ifit is convergent, find its limit. *…

A: Convergent Limit=0

Q: (a) Give an example of a convergent sequence (x,) of positive numbers wich lim(x:/x,) = 1. (b) Give…

A:

Q: Determine whether the sequence (3n)/(4n-1) converges or diverges. Show all necessary  calculations…

A: Given an=3n4n-1

Q: 5. Determine if the series 00 3 (-1)"-1, 6n-1 n=1 Converges or diverges. Find the sum if it…

A:

Q: determine convergence by intergral test   sum from 2 to the infinity of 1/n（ln n）^5/4

A: We have given the series

Q: 3+5n 1. an n+n

A: the given sequence,an=3+5n2n+n2

Q: F0 (-1)" Ln=1 By the 5n+1 series test:

A:

Q: 2. Determine the convergence or divergence of the series Σκ k = 1 Convergent A. Divergent В.…

A: The given series is ∑k=1∞k-52

Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: A real number R is said to be the limit of an sequence an if for every positive integer n,…

Q: 1 b) Determine whether the series 1+-+-+-+-+… is convergent or 1 1 1 3 4 divergent.

A: Series is written as the sum of term of sequence where sequence is the list of numbers. Series are…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.