00 gent. 11xe -x2 xp convergent

Q: Calculate whether it is convergent or divergent. (4x)2* x=1

A: Given series is ∑x=1∞(4x)2xexx2x

Q: - Find the interval of convergent for : 2n 2 2n! n=0

A:

Q: 3 converges conditionally because lim n - 3 = 0. 3n + 1 3n + 1 True False

A: The given question is solved with explanation below.

Q: 1 converges conditionally because lim 第-1 = 0. 2n n=1 True False Reset Selection

A: this is false becuse

Q: 3* + 4* 2) What does converge to?

A: ∑k=1∞3k+4k5k

Q: Show that the sequence whose nth term is an = n2/ (2n − 1) converges.

A: Given  Definition of convergence :-

Q: What are all of the values of x ,such that Σ (3x)" (-1)"+ 00 converges? n=1

A: To solve this question we shall use root test for series.

Q: What is the convergent of this problem?

A:

Q: If the sequence (xn) convergence to x, then the sequence (Vxn) also .x convergence to

A:

Q: What are all of the values of x such that (-1)"+1 Σ (3)" converges?

A: The ratio test states that: if L < 1 then the series converges absolutely; if L > 1 then the…

Q: Find the radius of convergence for 2.4 6. ... · (2n) (2n)!

A: we have to find radius of convergence

Q: State why the following intergral is improper and find the value if it is convergent: 2r (z² – 4) "

A: The given integral is I=∫262xx2-423dx The integral is improper as the integrand is unbounded at x=2.

Q: converges

A: Given that: The series ∑ n = 1∞ 3+4 cos nn2 .

Q: Determine whether sum ((5n12 +1)1/3 )/((3n12 -1)1/2) converges or diverges.

A: Given series is

Q: Would it be absolutely convergent or conditionally convergent?

A: Let, for the given series the nth term is an=-1nn15+1n23+3.   Using the ratio test of the absolute…

Q: determine whetheer the fene Conditionally (Convergent,abtolutely onvergent or dirergent a . n= 5…

A: We have to find whether the sequence is convergent or divergent and to know whether it is absolutely…

Q: is convergent Vn3 + 4n + 5 or divergent. n=1

A:

Q: Determine of each point convergens or diverges: (-1)"(3n)"/n! (n+ 1)! /n! (n + 1)! (n+ 2)! n=0

A: Note: According to Bartleby guidelines; for more than one question asked, only the first one is to…

Q: 4) Show why the fixed-point iteration generated by the function g(x) = V2x+ 5 converges in the…

A: The objective is to show that fixed point iteration generated by the function gx=2x+53 converges in…

Q: Determine whether the sequence {2n+3 / 5n−7} converges or diverges.

A:

Q: Determine whether the sequence {√n+2−√n+1} converges or diverges.

A: To check for the convergence of the given sequence, we find the following limit: To calculate the…

Q: Determine whether k- 3k+2 22k+1 converges or diverges. k=2

A: Given that: ∑k=2∞k.3k+222k+1   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: d) Determine whether ) (an + bn) is convergent or divergent. n=1

A:

Q: Converges conditionally

A: According to the question, we have to define the term 'Converge conditionally'. The term Converge…

Q: 3と 2. (1) 7k tel

A:

Q: Let ³ 10n 4n + 1 Determine whether is convergent.

A:

Q: The sequence n0.1 converges if

A:

Q: Q.2) Determine of each point convergens or diverges: (-1)"(3n)!/ /n! (n + 1)! (n+ 2)!

A: determine whether the series converges of diverges (i) ∑n=0∞-1n3n!n!n+1!n+2! we will use ratio test…

Q: If a market model with inventory has the following numerical form: Qdt=21-2 Pt. Ost=-3+6Pt…

A: The market model with inventory has the numerical form is given as,…

Q: – 2n2 1+n² 2n²

A: Sequence is convergent.

Q: A) diverges B) converges

A: If the limit exists and is a finite number, we say the improper integral converges . If the limit is…

Q: 1 x converges 1 ex - e-X Select one: True False

A:

Q: What is the convergency interval of (2n)l

A: The given series is,  ∑n=1∞n!23n2n!xn To find its interval of convergence.

Q: The sequence {x}=0, where xn 20" is convergent.

A:

Q: prove that the sequence (1/5^n) is convergent and approaches zero?

A: Series and sequences

Q: 4n Determine whether Σ: 5n+1 is convergent or divergent.

A:

Q: B) > n! (4x – 6)" is convergent for x = n=1

A:

Q: Evaluate V4 – x²dx if it converges.

A:

Q: 5. E-1 ne-" n=D1

A:

Q: =) Show that converges/diverges n-1

A:

Q: Determine whether ∞∑n=1n√3 converges or diverges.

A: The given series is Now, the nth term of series is

Q: By 6/2silon definition, check the convergenie of fallowing sequenres. the =

A: We have to check the convergence of the sequence by using the epsilon definition…

Q: 2n + 1 n=1

A: We have to check sequence convergence.

Q: Show that 2"x" converges if |x| <. n=1

A:

Q: Determine whether (an + bn) is convergent or divergent. n=1

A:

Q: 2sys8 y > 8 Show that Y converges in probability to a constant, and provide that constant.

A:

Q: Is the Sertes ko convergend orcirergent Convergond.ordhrergent =1

A:

Q: 4) Show why the fixed-point iteration generated by the function g(x) = V2x + 5 converges in the…

A: Given that gx=2x+53. We construct a sequence pn as follows. pn=gpn-1. Since gx=2x+53, gx is…

Q: 6n2 n

A: The given sequence be 6n2en To find it is convergent or divergent

Q: Determine whether the sequence [In(k²-5)] 3k +4 00 k=1 converges or diverges.

A: